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142031872736 = 251329109108011
BaseRepresentation
bin1000010001000111000…
…0100110001011100000
3111120121110000201010222
42010101300212023200
54311340124411421
6145125403542212
713155452666345
oct2042160461340
9446543021128
10142031872736
1155265320206
122363a22a968
1310516818860
146c354227cc
153a642cccab
hex2111c262e0

142031872736 has 96 divisors (see below), whose sum is σ = 314379727200. Its totient is φ = 62711470080.

The previous prime is 142031872709. The next prime is 142031872751. The reversal of 142031872736 is 637278130241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260971 + ... + 1368981.

It is an arithmetic number, because the mean of its divisors is an integer number (3274788825).

Almost surely, 2142031872736 is an apocalyptic number.

142031872736 is a gapful number since it is divisible by the number (16) 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 142031872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157189863600).

142031872736 is an abundant number, since it is smaller than the sum of its proper divisors (172347854464).

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

142031872736 is a wasteful number, since it uses less digits than its factorization.

142031872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108172 (or 108164 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 142031872736 in words is "one hundred forty-two billion, thirty-one million, eight hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 109 116 208 218 232 377 416 436 464 754 872 928 1417 1508 1744 2834 3016 3161 3488 5668 6032 6322 11336 12064 12644 22672 25288 41093 45344 50576 82186 101152 108011 164372 216022 328744 432044 657488 864088 1314976 1404143 1728176 2808286 3132319 3456352 5616572 6264638 11233144 11773199 12529276 22466288 23546398 25058552 40720147 44932576 47092796 50117104 81440294 94185592 100234208 153051587 162880588 188371184 306103174 325761176 341422771 376742368 612206348 651522352 682845542 1224412696 1303044704 1365691084 2448825392 2731382168 4438496023 4897650784 5462764336 8876992046 10925528672 17753984092 35507968184 71015936368 142031872736