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54314043504240 = 243513120114494877
BaseRepresentation
bin11000101100101111110010…
…10001001111011001110000
321010022101001002002220222210
430112113321101033121300
524104340130114113430
6311303305505332120
714304026426236632
oct1426277121173160
9233271032086883
1054314043504240
1116340502659603
126112513337040
13243ca3b97ba20
14d5ab56c48a52
15642c761522b0
hex3165f944f670

54314043504240 has 160 divisors (see below), whose sum is σ = 181476336396096. Its totient is φ = 13358477721600.

The previous prime is 54314043504239. The next prime is 54314043504323. The reversal of 54314043504240 is 4240534041345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3500319 + ... + 10994558.

Almost surely, 254314043504240 is an apocalyptic number.

It is an amenable number.

54314043504240 is an abundant number, since it is smaller than the sum of its proper divisors (127162292891856).

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

54314043504240 is a wasteful number, since it uses less digits than its factorization.

54314043504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496107 (or 14496101 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 54314043504240 its reverse (4240534041345), we get a palindrome (58554577545585).

The spelling of 54314043504240 in words is "fifty-four trillion, three hundred fourteen billion, forty-three million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1201 1560 2402 3120 3603 4804 6005 7206 9608 12010 14412 15613 18015 19216 24020 28824 31226 36030 46839 48040 57648 62452 72060 78065 93678 96080 124904 144120 156130 187356 234195 249808 288240 312260 374712 468390 624520 749424 936780 1249040 1873560 3747120 14494877 28989754 43484631 57979508 72474385 86969262 115959016 144948770 173938524 188433401 217423155 231918032 289897540 347877048 376866802 434846310 565300203 579795080 695754096 753733604 869692620 942167005 1130600406 1159590160 1507467208 1739385240 1884334010 2261200812 2826501015 3014934416 3478770480 3768668020 4522401624 5653002030 7537336040 9044803248 11306004060 15074672080 17408347277 22612008120 34816694554 45224016240 52225041831 69633389108 87041736385 104450083662 139266778216 174083472770 208900167324 226308514601 261125209155 278533556432 348166945540 417800334648 452617029202 522250418310 678925543803 696333891080 835600669296 905234058404 1044500836620 1131542573005 1357851087606 1392667782160 1810468116808 2089001673240 2263085146010 2715702175212 3394627719015 3620936233616 4178003346480 4526170292020 5431404350424 6789255438030 9052340584040 10862808700848 13578510876060 18104681168080 27157021752120 54314043504240