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14564474640540 = 22325117368199833
BaseRepresentation
bin1101001111110000111001…
…0101100101100010011100
31220120100110021112202121200
43103330032111211202130
53402111021001444130
650550454405355500
73032151154545036
oct323741625454234
956510407482550
1014564474640540
11470583926a880
121772839108b90
138185688969a6
14384cd252cc56
151a3cc7013760
hexd3f0e56589c

14564474640540 has 144 divisors (see below), whose sum is σ = 48196307498976. Its totient is φ = 3530698444800.

The previous prime is 14564474640517. The next prime is 14564474640563. The reversal of 14564474640540 is 4504647446541.

14564474640540 is a `hidden beast` number, since 1 + 4 + 5 + 64 + 474 + 64 + 0 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14564474640517) and next prime (14564474640563).

It is a super-2 number, since 2×145644746405402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145838464 + ... + 145938296.

It is an arithmetic number, because the mean of its divisors is an integer number (334696579854).

Almost surely, 214564474640540 is an apocalyptic number.

14564474640540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14564474640540 is an abundant number, since it is smaller than the sum of its proper divisors (33631832858436).

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

14564474640540 is a wasteful number, since it uses less digits than its factorization.

14564474640540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173540 (or 173535 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 14564474640540 in words is "fourteen trillion, five hundred sixty-four billion, four hundred seventy-four million, six hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 73681 99833 147362 199666 221043 294724 299499 368405 399332 442086 499165 598998 663129 736810 810491 884172 898497 998330 1098163 1105215 1197996 1326258 1473620 1497495 1620982 1796994 1996660 2196326 2210430 2431473 2652516 2994990 3241964 3294489 3315645 3593988 4052455 4392652 4420860 4492485 4862946 5490815 5989980 6588978 6631290 7294419 8104910 8984970 9725892 9883467 10981630 12157365 13177956 13262580 14588838 16209820 16472445 17969940 19766934 21963260 24314730 29177676 32944890 36472095 39533868 48629460 49417335 65889780 72944190 98834670 145888380 197669340 7355795273 14711590546 22067385819 29423181092 36778976365 44134771638 66202157457 73557952730 80913748003 88269543276 110336929095 132404314914 147115905460 161827496006 220673858190 242741244009 264808629828 323654992012 331010787285 404568740015 441347716380 485482488018 662021574570 728223732027 809137480030 970964976036 1213706220045 1324043149140 1456447464054 1618274960060 2427412440090 2912894928108 3641118660135 4854824880180 7282237320270 14564474640540