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141001430414112 = 25321156034235083
BaseRepresentation
bin100000000011110101110100…
…001011000011001100100000
3200111020121100010020112100200
4200003311310023003030200
5121440131412141222422
61215515055104145200
741462005614252462
oct4003656413031440
9614217303215320
10141001430414112
1140a22409629464
1213993031908200
13608a4bb146308
1426b67116c2132
151147b866042ac
hex803d742c3320

141001430414112 has 72 divisors (see below), whose sum is σ = 400976380952784. Its totient is φ = 47000059138944.

The previous prime is 141001430414107. The next prime is 141001430414129. The reversal of 141001430414112 is 211414034100141.

141001430414112 is a `hidden beast` number, since 1 + 4 + 100 + 1 + 4 + 30 + 414 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31176123 + ... + 35411205.

It is an arithmetic number, because the mean of its divisors is an integer number (5569116402122).

Almost surely, 2141001430414112 is an apocalyptic number.

141001430414112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141001430414112 is an abundant number, since it is smaller than the sum of its proper divisors (259974950538672).

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

141001430414112 is a wasteful number, since it uses less digits than its factorization.

141001430414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350702 (or 4350691 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 141001430414112 its reverse (211414034100141), we get a palindrome (352415464514253).

The spelling of 141001430414112 in words is "one hundred forty-one trillion, one billion, four hundred thirty million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 115603 231206 346809 462412 693618 924824 1040427 1387236 1849648 2080854 2774472 3699296 4161708 4235083 5548944 8323416 8470166 11097888 12705249 16646832 16940332 25410498 33293664 33880664 38115747 50820996 67761328 76231494 101641992 135522656 152462988 203283984 304925976 406567968 609851952 1219703904 489588300049 979176600098 1468764900147 1958353200196 2937529800294 3916706400392 4406294700441 5875059600588 7833412800784 8812589400882 11750119201176 15666825601568 17625178801764 23500238402352 35250357603528 47000476804704 70500715207056 141001430414112