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54141230501505 = 345765928979417
BaseRepresentation
bin11000100111101101111001…
…10011111100111010000001
321002200211222102221210120000
430103312330303330322001
524044022220002022010
6311052045443110213
714255401110036420
oct1423667463747201
9232624872853500
1054141230501505
1116284192182894
1260a4b24672369
13242965acc41a4
14d526417652b7
1563d50e89e7c0
hex313dbccfce81

54141230501505 has 80 divisors (see below), whose sum is σ = 111086223431040. Its totient is φ = 24712718623488.

The previous prime is 54141230501467. The next prime is 54141230501509. The reversal of 54141230501505 is 50510503214145.

54141230501505 is a `hidden beast` number, since 5 + 4 + 141 + 2 + 3 + 0 + 5 + 0 + 1 + 505 = 666.

It is not a de Polignac number, because 54141230501505 - 26 = 54141230501441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54141230501505.

It is not an unprimeable number, because it can be changed into a prime (54141230501509) 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, 12621444 + ... + 16357973.

It is an arithmetic number, because the mean of its divisors is an integer number (1388577792888).

Almost surely, 254141230501505 is an apocalyptic number.

It is an amenable number.

54141230501505 is an abundant number, since it is smaller than the sum of its proper divisors (56944992929535).

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

54141230501505 is a wasteful number, since it uses less digits than its factorization.

54141230501505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28980100 (or 28980091 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 54141230501505 in words is "fifty-four trillion, one hundred forty-one billion, two hundred thirty million, five hundred one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 659 945 1977 2835 3295 4613 5931 9885 13839 17793 23065 29655 41517 53379 69195 88965 124551 207585 266895 373653 622755 1868265 28979417 86938251 144897085 202855919 260814753 434691255 608567757 782444259 1014279595 1304073765 1825703271 2347332777 3042838785 3912221295 5477109813 9128516355 11736663885 16431329439 19097435803 27385549065 57292307409 82156647195 95487179015 133682050621 171876922227 286461537045 401046151863 515630766681 668410253105 859384611135 1203138455589 1546892300043 2005230759315 2578153833405 3609415366767 6015692277945 7734461500215 10828246100301 18047076833835 54141230501505