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142414112004032 = 2611354157128713
BaseRepresentation
bin100000011000011001011110…
…100011101001011111000000
3200200020122201022212211210002
4200120121132203221133000
5122131303100133112112
61222520050113255132
741666036312533061
oct4030313643513700
9620218638784702
10142414112004032
1141417538552980
1213b80985b644a8
13616079317953b
142724c46250568
15116e7b7c6c1c2
hex81865e8e97c0

142414112004032 has 56 divisors (see below), whose sum is σ = 308381255201712. Its totient is φ = 64715404953600.

The previous prime is 142414112004029. The next prime is 142414112004113. The reversal of 142414112004032 is 230400211414241.

It is a junction number, because it is equal to n+sod(n) for n = 142414112003986 and 142414112004004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26071493 + ... + 31057220.

It is an arithmetic number, because the mean of its divisors is an integer number (5506808128602).

Almost surely, 2142414112004032 is an apocalyptic number.

It is an amenable number.

142414112004032 is an abundant number, since it is smaller than the sum of its proper divisors (165967143197680).

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

142414112004032 is a wasteful number, since it uses less digits than its factorization.

142414112004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57132277 (or 57132267 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 142414112004032 its reverse (230400211414241), we get a palindrome (372814323418273).

The spelling of 142414112004032 in words is "one hundred forty-two trillion, four hundred fourteen billion, one hundred twelve million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3541 7082 14164 28328 38951 56656 77902 113312 155804 226624 311608 623216 1246432 2492864 57128713 114257426 228514852 457029704 628415843 914059408 1256831686 1828118816 2513663372 3656237632 5027326744 10054653488 20109306976 40218613952 202292772733 404585545466 809171090932 1618342181864 2225220500063 3236684363728 4450441000126 6473368727456 8900882000252 12946737454912 17801764000504 35603528001008 71207056002016 142414112004032