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140232144312 = 233213197760511
BaseRepresentation
bin1000001010011001111…
…1001011010110111000
3111101222000112000212200
42002212133023112320
54244143412104222
6144231033310200
713063040362611
oct2024637132670
9441860460780
10140232144312
1154521431647
1223217565360
13102ba9c22b0
146b043bac08
1539ab2c9eac
hex20a67cb5b8

140232144312 has 96 divisors (see below), whose sum is σ = 411087156480. Its totient is φ = 42929268480.

The previous prime is 140232144289. The next prime is 140232144347. The reversal of 140232144312 is 213441232041.

140232144312 is a `hidden beast` number, since 1 + 402 + 3 + 214 + 43 + 1 + 2 = 666.

140232144312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195864 + ... + 564647.

It is an arithmetic number, because the mean of its divisors is an integer number (4282157880).

Almost surely, 2140232144312 is an apocalyptic number.

140232144312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140232144312 is an abundant number, since it is smaller than the sum of its proper divisors (270855012168).

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

140232144312 is a wasteful number, since it uses less digits than its factorization.

140232144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760733 (or 760726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140232144312 its reverse (213441232041), we get a palindrome (353673376353).

The spelling of 140232144312 in words is "one hundred forty billion, two hundred thirty-two million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 197 234 312 394 468 591 788 936 1182 1576 1773 2364 2561 3546 4728 5122 7092 7683 10244 14184 15366 20488 23049 30732 46098 61464 92196 184392 760511 1521022 2281533 3042044 4563066 6084088 6844599 9126132 9886643 13689198 18252264 19773286 27378396 29659929 39546572 54756792 59319858 79093144 88979787 118639716 149820667 177959574 237279432 299641334 355919148 449462001 599282668 711838296 898924002 1198565336 1348386003 1797848004 1947668671 2696772006 3595696008 3895337342 5393544012 5843006013 7790674684 10787088024 11686012026 15581349368 17529018039 23372024052 35058036078 46744048104 70116072156 140232144312