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4311421224 = 2331131598929
BaseRepresentation
bin1000000001111101…
…10001000100101000
3102010110200220001120
410000332301010220
532312210434344
61551452415240
7211561322115
oct40076610450
912113626046
104311421224
111912759640
12a03a77520
135392bac26
142cc85b90c
151a378d219
hex100fb1128

4311421224 has 128 divisors (see below), whose sum is σ = 12344832000. Its totient is φ = 1242777600.

The previous prime is 4311421223. The next prime is 4311421259. The reversal of 4311421224 is 4221241134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4311421194 and 4311421203.

It is not an unprimeable number, because it can be changed into a prime (4311421223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478392 + ... + 487320.

It is an arithmetic number, because the mean of its divisors is an integer number (96444000).

Almost surely, 24311421224 is an apocalyptic number.

4311421224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4311421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172416000).

4311421224 is an abundant number, since it is smaller than the sum of its proper divisors (8033410776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4311421224 is a wasteful number, since it uses less digits than its factorization.

4311421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039 (or 9035 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4311421224 is about 65661.4135090009. The cubic root of 4311421224 is about 1627.5717823653.

Adding to 4311421224 its reverse (4221241134), we get a palindrome (8532662358).

The spelling of 4311421224 in words is "four billion, three hundred eleven million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 59 62 66 88 93 118 124 132 177 186 236 248 264 341 354 372 472 649 682 708 744 1023 1298 1364 1416 1829 1947 2046 2596 2728 3658 3894 4092 5192 5487 7316 7788 8184 8929 10974 14632 15576 17858 20119 21948 26787 35716 40238 43896 53574 60357 71432 80476 98219 107148 120714 160952 196438 214296 241428 276799 294657 392876 482856 526811 553598 589314 785752 830397 1053622 1107196 1178628 1580433 1660794 2107244 2214392 2357256 3044789 3160866 3321588 4214488 5794921 6089578 6321732 6643176 9134367 11589842 12179156 12643464 16331141 17384763 18268734 23179684 24358312 32662282 34769526 36537468 46359368 48993423 65324564 69539052 73074936 97986846 130649128 139078104 179642551 195973692 359285102 391947384 538927653 718570204 1077855306 1437140408 2155710612 4311421224