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142324204362561 = 331311313925815373
BaseRepresentation
bin100000010111000101101111…
…101001001101101101000001
3200122221001122111210102202000
4200113011233221031231001
5122123314432304100221
61222410500432414213
741656404314304264
oct4027055751155501
9618831574712660
10142324204362561
11413923a0a84151
1213b674740a7369
1361551655238a0
142720757714cdb
15116c2a4a85e26
hex81716fa4db41

142324204362561 has 64 divisors (see below), whose sum is σ = 230727486662400. Its totient is φ = 86184516160512.

The previous prime is 142324204362511. The next prime is 142324204362563. The reversal of 142324204362561 is 165263402423241.

142324204362561 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 4 + 20 + 4 + 3 + 62 + 561 = 666.

It is not a de Polignac number, because 142324204362561 - 213 = 142324204354369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142324204362563) by changing a digit.

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, 7394530 + ... + 18420843.

It is an arithmetic number, because the mean of its divisors is an integer number (3605116979100).

Almost surely, 2142324204362561 is an apocalyptic number.

It is an amenable number.

142324204362561 is a deficient number, since it is larger than the sum of its proper divisors (88403282299839).

142324204362561 is a wasteful number, since it uses less digits than its factorization.

142324204362561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25815647 (or 25815641 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 142324204362561 in words is "one hundred forty-two trillion, three hundred twenty-four billion, two hundred four million, three hundred sixty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 13 27 39 113 117 139 339 351 417 1017 1251 1469 1807 3051 3753 4407 5421 13221 15707 16263 39663 47121 48789 141363 204191 424089 612573 1837719 5513157 25815373 77446119 232338357 335599849 697015071 1006799547 2917137149 3020398641 3588336847 8751411447 9061195923 10765010541 26254234341 32295031623 37922782937 46648379011 78762703023 96885094869 113768348811 139945137033 341305046433 405482063711 419835411099 1023915139299 1216446191133 1259506233297 3649338573399 5271266828243 10948015720197 15813800484729 47441401454187 142324204362561