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540214500015 = 34541107304049
BaseRepresentation
bin1111101110001110100…
…10110001101010101111
31220122101110212222110000
413313013102301222233
532322324403000030
61052100543315343
754013006325541
oct7670722615257
91818343788400
10540214500015
11199116002583
12888448abb53
133bc32793508
141c20a0a9691
15e0bb38a860
hex7dc74b1aaf

540214500015 has 80 divisors (see below), whose sum is σ = 1001278000800. Its totient is φ = 278459320320.

The previous prime is 540214499989. The next prime is 540214500017. The reversal of 540214500015 is 510005412045.

It is not a de Polignac number, because 540214500015 - 211 = 540214497967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540214500017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1624711 + ... + 1928759.

It is an arithmetic number, because the mean of its divisors is an integer number (12515975010).

Almost surely, 2540214500015 is an apocalyptic number.

540214500015 is a deficient number, since it is larger than the sum of its proper divisors (461063500785).

540214500015 is a wasteful number, since it uses less digits than its factorization.

540214500015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304214 (or 304205 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 540214500015 in words is "five hundred forty billion, two hundred fourteen million, five hundred thousand, fifteen".

Divisors: 1 3 5 9 15 27 41 45 81 107 123 135 205 321 369 405 535 615 963 1107 1605 1845 2889 3321 4387 4815 5535 8667 13161 14445 16605 21935 39483 43335 65805 118449 197415 304049 355347 592245 912147 1520245 1776735 2736441 4560735 8209323 12466009 13682205 24627969 32533243 37398027 41046615 62330045 97599729 112194081 123139845 162666215 186990135 292799187 336582243 487998645 560970405 878397561 1009746729 1333862963 1463995935 1682911215 2635192683 4001588889 4391987805 5048733645 6669314815 12004766667 13175963415 20007944445 36014300001 60023833335 108042900003 180071500005 540214500015