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142206698252025 = 3452112240912
BaseRepresentation
bin100000010101011000010011…
…101110111110011011111001
3200122111211100022022112110000
4200111120103232332123321
5122114403304223031100
61222240504424543213
741645044356660531
oct4025302356763371
9618454308275400
10142206698252025
114134758192a100
1213b4873b621b09
136147059c09574
142718bab6ac4c1
1511691c8a00900
hex815613bbe6f9

142206698252025 has 135 divisors (see below), whose sum is σ = 289551879283359. Its totient is φ = 68945840172000.

The previous prime is 142206698251991. The next prime is 142206698252033. The reversal of 142206698252025 is 520252896602241.

The square root of 142206698252025 is 11925045.

It is a perfect power (a square), and thus also a powerful number.

142206698252025 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 6 + 6 + 98 + 2 + 520 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51194411370729 + 91012286881296 = 7155027^2 + 9540036^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 142206698252025 - 213 = 142206698243833 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5902885230 + ... + 5902909320.

Almost surely, 2142206698252025 is an apocalyptic number.

142206698252025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142206698252025 is the 11925045-th square number.

142206698252025 is the 5962523-rd centered octagonal number.

It is an amenable number.

142206698252025 is an abundant number, since it is smaller than the sum of its proper divisors (147345181031334).

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

142206698252025 is an frugal number, since it uses more digits than its factorization.

142206698252025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48226 (or 24110 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 142206698252025 in words is "one hundred forty-two trillion, two hundred six billion, six hundred ninety-eight million, two hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1815 2025 2475 3025 3267 4455 5445 7425 9075 9801 16335 22275 24091 27225 49005 72273 81675 120455 216819 245025 265001 361365 602275 650457 795003 1084095 1325005 1806825 1951371 2385009 2915011 3252285 3975015 5420475 6625025 7155027 8745033 9756855 11925045 14575055 16261425 19875075 21465081 26235099 35775135 43725165 48784275 59625225 72875275 78705297 107325405 131175495 178875675 218625825 236115891 393526485 536627025 580376281 655877475 1180579455 1741128843 1967632425 2901881405 5223386529 5902897275 6384139091 8705644215 14509407025 15670159587 19152417273 26116932645 31920695455 43528221075 47010478761 57457251819 70225530001 78350797935 95762086365 130584663225 159603477275 172371755457 210676590003 235052393805 287286259095 351127650005 391753989675 478810431825 517115266371 632029770009 861858777285 1053382950015 1175261969025 1436431295475 1755638250025 1896089310027 2585576331855 3160148850045 4309293886425 5266914750075 5688267930081 9480446550135 12927881659275 15800744250225 28441339650405 47402232750675 142206698252025