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540021502430145 = 325178272089740847
BaseRepresentation
bin111101011001001011000110…
…1110100101100101111000001
32121211001112220000010021200200
41322302112031310230233001
51031240203014110231040
65152310241533435413
7221514160151614221
oct17262261564545701
92554045800107620
10540021502430145
1114708191887696a
125069795063bb69
131a242a699994a8
14974d274594081
1542672ea210630
hex1eb258dd2cbc1

540021502430145 has 96 divisors (see below), whose sum is σ = 992368492098048. Its totient is φ = 270722258386944.

The previous prime is 540021502430141. The next prime is 540021502430161. The reversal of 540021502430145 is 541034205120045.

540021502430145 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 2 + 1 + 502 + 4 + 3 + 0 + 145 = 666.

It is not a de Polignac number, because 540021502430145 - 22 = 540021502430141 is a prime.

It is a super-2 number, since 2×5400215024301452 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540021502430141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13220571112 + ... + 13220611958.

It is an arithmetic number, because the mean of its divisors is an integer number (10337171792688).

Almost surely, 2540021502430145 is an apocalyptic number.

It is an amenable number.

540021502430145 is a deficient number, since it is larger than the sum of its proper divisors (452346989667903).

540021502430145 is a wasteful number, since it uses less digits than its factorization.

540021502430145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62599 (or 62596 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540021502430145 in words is "five hundred forty trillion, twenty-one billion, five hundred two million, four hundred thirty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 827 2481 4135 7443 12405 14059 20897 37215 40847 42177 62691 70295 104485 122541 126531 188073 204235 210885 313455 355249 367623 612705 632655 694399 940365 1065747 1776245 1838115 2083197 3197241 3471995 5328735 6249591 10415985 15986205 17281819 31247955 33780469 51845457 86409095 101341407 155536371 168902345 259227285 293790923 304024221 506707035 574267973 777681855 853579759 881372769 1468954615 1520121105 1722803919 2560739277 2644118307 2871339865 4267898795 4406863845 5168411757 7682217831 8614019595 12803696385 13220591535 14510855903 25842058785 38411089155 43532567709 72554279515 130597703127 217662838545 652988515635 705910460693 2117731382079 3529552303465 6353194146237 10588656910395 12000477831781 31765970731185 36001433495343 60002389158905 108004300486029 180007167476715 540021502430145