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1042211412 = 2232113783857
BaseRepresentation
bin111110000111101…
…110001001010100
32200122002211021200
4332013232021110
54113301231122
6251230112500
734553436144
oct7607561124
92618084250
101042211412
11495334950
1225104b730
13137bc9458
149c5b8924
156176d5ac
hex3e1ee254

1042211412 has 144 divisors (see below), whose sum is σ = 2990699712. Its totient is φ = 303229440.

The previous prime is 1042211411. The next prime is 1042211447. The reversal of 1042211412 is 2141122401.

1042211412 is a `hidden beast` number, since 1 + 0 + 42 + 211 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042211411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215688 + ... + 1216544.

It is an arithmetic number, because the mean of its divisors is an integer number (20768748).

Almost surely, 21042211412 is an apocalyptic number.

1042211412 is a gapful number since it is divisible by the number (12) 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 1042211412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495349856).

1042211412 is an abundant number, since it is smaller than the sum of its proper divisors (1948488300).

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

1042211412 is a wasteful number, since it uses less digits than its factorization.

1042211412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1042211412 is about 32283.2992737731. The cubic root of 1042211412 is about 1013.8770085294.

Adding to 1042211412 its reverse (2141122401), we get a palindrome (3183333813).

The spelling of 1042211412 in words is "one billion, forty-two million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 83 99 111 132 148 166 198 222 249 332 333 396 407 444 498 666 747 814 857 913 996 1221 1332 1494 1628 1714 1826 2442 2571 2739 2988 3071 3428 3652 3663 4884 5142 5478 6142 7326 7713 8217 9213 9427 10284 10956 12284 14652 15426 16434 18426 18854 27639 28281 30852 31709 32868 33781 36852 37708 55278 56562 63418 67562 71131 84843 95127 101343 110556 113124 126836 135124 142262 169686 190254 202686 213393 284524 285381 304029 339372 348799 380508 405372 426786 570762 608058 640179 697598 782441 853572 1046397 1141524 1216116 1280358 1395196 1564882 2092794 2347323 2560716 2631847 3129764 3139191 4185588 4694646 5263694 6278382 7041969 7895541 9389292 10527388 12556764 14083938 15791082 23686623 28167876 28950317 31582164 47373246 57900634 86850951 94746492 115801268 173701902 260552853 347403804 521105706 1042211412