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145141435524255 = 35311571349956783
BaseRepresentation
bin100001000000000101011111…
…101101001110010010011111
3201000220101102012020201211120
4201000011133231032102133
5123010444124443234010
61232405015513422023
742400060035130362
oct4100053755162237
9630811365221746
10145141435524255
1142279156584525
121434147110a913
1362caa178a2991
1427bac50bc00d9
1511ba6dd98ee70
hex84015fb4e49f

145141435524255 has 64 divisors (see below), whose sum is σ = 239942836224000. Its totient is φ = 74841310684800.

The previous prime is 145141435524133. The next prime is 145141435524311. The reversal of 145141435524255 is 552425534141541.

It is not a de Polignac number, because 145141435524255 - 221 = 145141433427103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145141435524198 and 145141435524207.

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 63 ways as a sum of consecutive naturals, for example, 2556043594 + ... + 2556100376.

It is an arithmetic number, because the mean of its divisors is an integer number (3749106816000).

Almost surely, 2145141435524255 is an apocalyptic number.

145141435524255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145141435524255 is a deficient number, since it is larger than the sum of its proper divisors (94801400699745).

145141435524255 is a wasteful number, since it uses less digits than its factorization.

145141435524255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61892.

The product of its digits is 9600000, while the sum is 51.

Adding to 145141435524255 its reverse (552425534141541), we get a palindrome (697566969665796).

The spelling of 145141435524255 in words is "one hundred forty-five trillion, one hundred forty-one billion, four hundred thirty-five million, five hundred twenty-four thousand, two hundred fifty-five".

Divisors: 1 3 5 15 31 93 155 465 1571 3499 4713 7855 10497 17495 23565 48701 52485 56783 108469 146103 170349 243505 283915 325407 542345 730515 851745 1627035 1760273 5280819 5496929 8801365 16490787 26404095 27484645 82453935 89206093 170404799 198683717 267618279 446030465 511214397 596051151 852023995 993418585 1338091395 2556071985 2765388883 2980255755 6159195227 8296166649 13826944415 18477585681 30795976135 41480833245 92387928405 312132119407 936396358221 1560660597035 4681981791105 9676095701617 29028287104851 48380478508085 145141435524255