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141656408560 = 2458994121143
BaseRepresentation
bin1000001111101101100…
…0010100000111110000
3111112122021112011010101
42003323120110013300
54310103020033220
6145024232242144
713143243414532
oct2037330240760
9445567464111
10141656408560
1155092393437
1223554540354
1310486ab80c4
146bdb607852
153a4136430a
hex20fb6141f0

141656408560 has 80 divisors (see below), whose sum is σ = 333421427520. Its totient is φ = 55963719680.

The previous prime is 141656408539. The next prime is 141656408587. The reversal of 141656408560 is 65804656141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1416564085602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141656408560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6689349 + ... + 6710491.

It is an arithmetic number, because the mean of its divisors is an integer number (4167767844).

Almost surely, 2141656408560 is an apocalyptic number.

141656408560 is a gapful number since it is divisible by the number (10) 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 141656408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166710713760).

141656408560 is an abundant number, since it is smaller than the sum of its proper divisors (191765018960).

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

141656408560 is a wasteful number, since it uses less digits than its factorization.

141656408560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 141656408560 in words is "one hundred forty-one billion, six hundred fifty-six million, four hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 941 1424 1780 1882 3560 3764 4705 7120 7528 9410 15056 18820 21143 37640 42286 75280 83749 84572 105715 167498 169144 211430 334996 338288 418745 422860 669992 837490 845720 1339984 1674980 1691440 1881727 3349960 3763454 6699920 7526908 9408635 15053816 18817270 19895563 30107632 37634540 39791126 75269080 79582252 99477815 150538160 159164504 198955630 318329008 397911260 795822520 1591645040 1770705107 3541410214 7082820428 8853525535 14165640856 17707051070 28331281712 35414102140 70828204280 141656408560