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41130003114 = 23219318274691
BaseRepresentation
bin100110010011100010…
…100000101010101010
310221011102100122100200
4212103202200222222
51133213240044424
630521142413030
72654145154344
oct462342405252
9127142318320
1041130003114
11164968a6112
127b7a431176
133b56209765
141dc26ba294
15110ace78c9
hex9938a0aaa

41130003114 has 96 divisors (see below), whose sum is σ = 96969000960. Its totient is φ = 12551565600.

The previous prime is 41130003097. The next prime is 41130003127.

41130003114 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8765509 + ... + 8770199.

It is an arithmetic number, because the mean of its divisors is an integer number (1010093760).

Almost surely, 241130003114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130003114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48484500480).

41130003114 is an abundant number, since it is smaller than the sum of its proper divisors (55838997846).

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

41130003114 is a wasteful number, since it uses less digits than its factorization.

41130003114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 4113000 and 3114, that added together give a palindrome (4116114).

The spelling of 41130003114 in words is "forty-one billion, one hundred thirty million, three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 827 1178 1654 1767 2481 3534 4691 4962 5301 7443 9382 10602 14073 14886 15713 25637 28146 31426 42219 47139 51274 76911 84438 89129 94278 141417 145421 153822 178258 230733 267387 282834 290842 436263 461466 487103 534774 802161 872526 974206 1308789 1461309 1604322 2617578 2762999 2922618 3879457 4383927 5525998 7758914 8288997 8767854 11638371 16577994 23276742 24866991 34915113 49733982 69830226 73709683 120263167 147419366 221129049 240526334 360789501 442258098 663387147 721579002 1082368503 1326774294 2164737006 2285000173 4570000346 6855000519 13710001038 20565001557 41130003114