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240534312115328 = 2771124404861213
BaseRepresentation
bin110110101100001111000010…
…001110101101110010000000
31011112122212002210001211200122
4312230033002032231302000
5223011403232400142303
62211323534300435412
7101444013325412450
oct6654170216556200
91145585083054618
10240534312115328
116a707035521a20
1222b891b2548b68
13a42a39953b31a
144357ccc329d60
151cc1cb1d91e38
hexdac3c23adc80

240534312115328 has 64 divisors (see below), whose sum is σ = 597431002518720. Its totient is φ = 93714667054080.

The previous prime is 240534312115309. The next prime is 240534312115337. The reversal of 240534312115328 is 823511213435042.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12202420751 + ... + 12202440462.

It is an arithmetic number, because the mean of its divisors is an integer number (9334859414355).

Almost surely, 2240534312115328 is an apocalyptic number.

240534312115328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

240534312115328 is an abundant number, since it is smaller than the sum of its proper divisors (356896690403392).

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

240534312115328 is a wasteful number, since it uses less digits than its factorization.

240534312115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24404861245 (or 24404861233 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 240534312115328 in words is "two hundred forty trillion, five hundred thirty-four billion, three hundred twelve million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 24404861213 48809722426 97619444852 170834028491 195238889704 268453473343 341668056982 390477779408 536906946686 683336113964 780955558816 1073813893372 1366672227928 1561911117632 1879174313401 2147627786744 2733344455856 3123822235264 3758348626802 4295255573488 5466688911712 7516697253604 8590511146976 10933377823424 15033394507208 17181022293952 21866755646848 30066789014416 34362044587904 60133578028832 120267156057664 240534312115328