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41112130312 = 2311331592111
BaseRepresentation
bin100110010010011110…
…010101001100001000
310221010011201121111001
4212102132111030020
51133144201132222
630515303344344
72653540225141
oct462236251410
9127104647431
1041112130312
11164877a9000
127b744520b4
133b525bc636
141dc0186ac8
151109466e27
hex992795308

41112130312 has 128 divisors (see below), whose sum is σ = 89048678400. Its totient is φ = 17769576000.

The previous prime is 41112130303. The next prime is 41112130313. The reversal of 41112130312 is 21303121114.

It is a super-4 number, since 4×411121303124 (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41112130312.

It is not an unprimeable number, because it can be changed into a prime (41112130313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19474137 + ... + 19476247.

It is an arithmetic number, because the mean of its divisors is an integer number (695692800).

Almost surely, 241112130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41112130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44524339200).

41112130312 is an abundant number, since it is smaller than the sum of its proper divisors (47936548088).

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

41112130312 is a wasteful number, since it uses less digits than its factorization.

41112130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 41112130312 its reverse (21303121114), we get a palindrome (62415251426).

The spelling of 41112130312 in words is "forty-one billion, one hundred twelve million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 59 62 88 118 121 124 236 242 248 341 472 484 649 682 968 1298 1331 1364 1829 2111 2596 2662 2728 3658 3751 4222 5192 5324 7139 7316 7502 8444 10648 14278 14632 15004 16888 20119 23221 28556 30008 40238 41261 46442 57112 65441 78529 80476 82522 92884 124549 130882 157058 160952 165044 185768 221309 249098 255431 261764 314116 330088 442618 498196 510862 523528 628232 719851 885236 996392 1021724 1370039 1439702 1770472 2043448 2434399 2740078 2809741 2879404 3861019 4868798 5480156 5619482 5758808 7722038 7918361 9737596 10960312 11238964 15070429 15444076 15836722 19475192 22477928 30140858 30888152 31673444 42471209 60281716 63346888 84942418 87101971 120563432 165774719 169884836 174203942 331549438 339769672 348407884 467183299 663098876 696815768 934366598 1326197752 1868733196 3737466392 5139016289 10278032578 20556065156 41112130312