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104140575895041 = 34721619832
BaseRepresentation
bin10111101011011100011110…
…000010000110111000000001
3111122201202000210100121110000
4113223130132002012320001
5102122214344412120131
61005253304202030213
730635623360430100
oct2753343602067001
9448652023317400
10104140575895041
11302008521763a4
12b81b1841a8369
13461554cc0c55a
141ba0606050037
15c08e06d06ce6
hex5eb71e086e01

104140575895041 has 45 divisors (see below), whose sum is σ = 180967998520881. Its totient is φ = 59508533134008.

The previous prime is 104140575895021. The next prime is 104140575895063. The reversal of 104140575895041 is 140598575041401.

It is a happy number.

The square root of 104140575895041 is 10204929.

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

104140575895041 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 0 + 5 + 7 + 589 + 50 + 4 + 1 = 666.

It is not a de Polignac number, because 104140575895041 - 27 = 104140575894913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104140575895021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 642829536 + ... + 642991518.

Almost surely, 2104140575895041 is an apocalyptic number.

104140575895041 is the 10204929-th square number.

104140575895041 is the 5102465-th centered octagonal number.

It is an amenable number.

104140575895041 is a deficient number, since it is larger than the sum of its proper divisors (76827422625840).

104140575895041 is an frugal number, since it uses more digits than its factorization.

104140575895041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323992 (or 161993 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 104140575895041 in words is "one hundred four trillion, one hundred forty billion, five hundred seventy-five million, eight hundred ninety-five thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 161983 485949 1133881 1457847 3401643 4373541 7937167 10204929 13120623 23811501 30614787 71434503 91844361 214303509 642910527 26238492289 78715476867 183669446023 236146430601 551008338069 708439291803 1285686122161 1653025014207 2125317875409 3857058366483 4959075042621 11571175099449 14877225127863 34713525298347 104140575895041