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4221340040 = 235177278539
BaseRepresentation
bin1111101110011100…
…1000100110001000
3101220012012021220102
43323213020212020
532121130340130
61534513544532
7206415540551
oct37347104610
911805167812
104221340040
111876922285
12999875148
1352373b058
142c08cd328
1519a8e7645
hexfb9c8988

4221340040 has 64 divisors (see below), whose sum is σ = 10071734400. Its totient is φ = 1586838528.

The previous prime is 4221340031. The next prime is 4221340051. The reversal of 4221340040 is 400431224.

4221340040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4221339994 and 4221340021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490091 + ... + 498629.

It is an arithmetic number, because the mean of its divisors is an integer number (157370850).

Almost surely, 24221340040 is an apocalyptic number.

4221340040 is a gapful number since it is divisible by the number (40) 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 4221340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035867200).

4221340040 is an abundant number, since it is smaller than the sum of its proper divisors (5850394360).

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

4221340040 is a wasteful number, since it uses less digits than its factorization.

4221340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4221340040 is about 64971.8403618060. The cubic root of 4221340040 is about 1616.1566208116.

Adding to 4221340040 its reverse (400431224), we get a palindrome (4621771264).

The spelling of 4221340040 in words is "four billion, two hundred twenty-one million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 727 1454 2908 3635 5816 7270 8539 12359 14540 17078 24718 29080 34156 42695 49436 61795 68312 85390 98872 123590 145163 170780 247180 290326 341560 494360 580652 725815 1161304 1451630 2903260 5806520 6207853 12415706 24831412 31039265 49662824 62078530 105533501 124157060 211067002 248314120 422134004 527667505 844268008 1055335010 2110670020 4221340040