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141656514432 = 2732153171341
BaseRepresentation
bin1000001111101101100…
…0101101111110000000
3111112122021201112100120
42003323120231332000
54310103031430212
6145024234420240
713143244335306
oct2037330557600
9445567645316
10141656514432
1155092455a34
1223554591680
1310486b24354
146bdb634276
153a4138588c
hex20fb62df80

141656514432 has 64 divisors (see below), whose sum is σ = 376452081360. Its totient is φ = 47196631040.

The previous prime is 141656514427. The next prime is 141656514457. The reversal of 141656514432 is 234415656141.

141656514432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 741082 + ... + 912422.

Almost surely, 2141656514432 is an apocalyptic number.

141656514432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141656514432 is an abundant number, since it is smaller than the sum of its proper divisors (234795566928).

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

141656514432 is a wasteful number, since it uses less digits than its factorization.

141656514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173511 (or 173499 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 141656514432 in words is "one hundred forty-one billion, six hundred fifty-six million, five hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2153 4306 6459 8612 12918 17224 25836 34448 51672 68896 103344 137792 171341 206688 275584 342682 413376 514023 685364 826752 1028046 1370728 2056092 2741456 4112184 5482912 8224368 10965824 16448736 21931648 32897472 65794944 368897173 737794346 1106691519 1475588692 2213383038 2951177384 4426766076 5902354768 8853532152 11804709536 17707064304 23609419072 35414128608 47218838144 70828257216 141656514432