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31432323234114 = 23311174013775661
BaseRepresentation
bin1110010010110011010000…
…11101011111100101000010
311010021220022122112222102000
413021121220131133211002
513104441344221442424
6150503450541004430
76422624162115345
oct711315035374502
9133256278488360
1031432323234114
11a019412032570
123637965553716
13147009482984a
147a949279a45c
153979609c33c9
hex1c966875f942

31432323234114 has 128 divisors (see below), whose sum is σ = 80702108386560. Its totient is φ = 8962410009600.

The previous prime is 31432323234089. The next prime is 31432323234173. The reversal of 31432323234114 is 41143232323413.

31432323234114 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 3 + 232 + 3 + 411 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 40135444 + ... + 40911104.

It is an arithmetic number, because the mean of its divisors is an integer number (630485221770).

Almost surely, 231432323234114 is an apocalyptic number.

31432323234114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31432323234114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351054193280).

31432323234114 is an abundant number, since it is smaller than the sum of its proper divisors (49269785152446).

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

31432323234114 is a wasteful number, since it uses less digits than its factorization.

31432323234114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779713 (or 779707 counting only the distinct ones).

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

Adding to 31432323234114 its reverse (41143232323413), we get a palindrome (72575555557527).

The spelling of 31432323234114 in words is "thirty-one trillion, four hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 4013 5049 8026 10098 12039 24078 36117 44143 68221 72234 88286 108351 132429 136442 204663 216702 264858 397287 409326 613989 750431 775661 794574 1191861 1227978 1500862 1551322 1841967 2251293 2326983 2383722 3683934 4502586 4653966 6753879 6980949 8532271 13186237 13507758 13961898 17064542 20261637 20942847 25596813 26372474 39558711 40523274 41885694 51193626 76790439 79117422 118676133 145048607 153580878 230371317 237352266 290097214 356028399 435145821 460742634 712056798 870291642 1305437463 2610874926 3112727593 3916312389 6225455186 7832624778 9338182779 18676365558 28014548337 34240003523 52916369081 56029096674 68480007046 84043645011 102720010569 105832738162 158749107243 168087290022 205440021138 308160031707 317498214486 476247321729 582080059891 616320063414 924480095121 952494643458 1164160119782 1428741965187 1746240179673 1848960190242 2857483930374 3492480359346 5238720539019 10477441078038 15716161617057 31432323234114