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104042342243124 = 223218156928061881
BaseRepresentation
bin10111101010000000111110…
…110110011101101100110100
3111122101100110201102001020200
4113222000332312131230310
5102114112204103234444
61005140220414000500
730625545142240335
oct2752007666355464
9448340421361220
10104042342243124
11301731228aa7aa
12b804129aa6130
1346091c63398bc
141b9996782628c
15c065a7bc9969
hex5ea03ed9db34

104042342243124 has 72 divisors (see below), whose sum is σ = 264913707119880. Its totient is φ = 34428559334400.

The previous prime is 104042342243111. The next prime is 104042342243137. The reversal of 104042342243124 is 421342243240401.

104042342243124 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 423 + 4 + 224 + 3 + 1 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (104042342243111) and next prime (104042342243137).

It can be written as a sum of positive squares in 4 ways, for example, as 3566239524 + 104038776003600 = 59718^2 + 10199940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10323337 + ... + 17738544.

Almost surely, 2104042342243124 is an apocalyptic number.

It is an amenable number.

104042342243124 is an abundant number, since it is smaller than the sum of its proper divisors (160871364876756).

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

104042342243124 is a wasteful number, since it uses less digits than its factorization.

104042342243124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28062641 (or 28062636 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 104042342243124 its reverse (421342243240401), we get a palindrome (525384585483525).

The spelling of 104042342243124 in words is "one hundred four trillion, forty-two billion, three hundred forty-two million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 569 724 1086 1138 1629 1707 2172 2276 3258 3414 5121 6516 6828 10242 20484 102989 205978 308967 411956 617934 926901 1235868 1853802 3707604 28061881 56123762 84185643 112247524 168371286 252556929 336742572 505113858 1010227716 5079200461 10158400922 15237601383 15967210289 20316801844 30475202766 31934420578 45712804149 47901630867 60950405532 63868841156 91425608298 95803261734 143704892601 182851216596 191606523468 287409785202 574819570404 2890065062309 5780130124618 8670195186927 11560260249236 17340390373854 26010585560781 34680780747708 52021171121562 104042342243124