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31434133043412 = 22331136137323473
BaseRepresentation
bin1110010010110110101000…
…10101010111100011010100
311010022001222210000211001000
413021123110111113203110
513110004101024342122
6150504350311303300
76423020056206321
oct711332425274324
9133261883024030
1031434133043412
11a01a160687030
12363818b67ab30
1314702c2772718
147a95c4ca7b48
15397a198180ac
hex1c96d45578d4

31434133043412 has 96 divisors (see below), whose sum is σ = 88929237720960. Its totient is φ = 9522857111040.

The previous prime is 31434133043371. The next prime is 31434133043471. The reversal of 31434133043412 is 21434033143413.

31434133043412 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 4 + 1 + 3 + 304 + 341 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630508 + ... + 7953980.

It is an arithmetic number, because the mean of its divisors is an integer number (926346226260).

Almost surely, 231434133043412 is an apocalyptic number.

It is an amenable number.

31434133043412 is an abundant number, since it is smaller than the sum of its proper divisors (57495104677548).

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

31434133043412 is a wasteful number, since it uses less digits than its factorization.

31434133043412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327110 (or 7327102 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31434133043412 its reverse (21434033143413), we get a palindrome (52868166186825).

The spelling of 31434133043412 in words is "thirty-one trillion, four hundred thirty-four billion, one hundred thirty-three million, forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3613 7226 10839 14452 21678 32517 39743 43356 65034 79486 97551 119229 130068 158972 195102 238458 357687 390204 476916 715374 1073061 1430748 2146122 4292244 7323473 14646946 21970419 29293892 43940838 65911257 80558203 87881676 131822514 161116406 197733771 241674609 263645028 322232812 395467542 483349218 725023827 790935084 966698436 1450047654 2175071481 2900095308 4350142962 8700285924 26459707949 52919415898 79379123847 105838831796 158758247694 238137371541 291056787439 317516495388 476274743082 582113574878 714412114623 873170362317 952549486164 1164227149756 1428824229246 1746340724634 2619511086951 2857648458492 3492681449268 5239022173902 7858533260853 10478044347804 15717066521706 31434133043412