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41330603314 = 2711313612797
BaseRepresentation
bin100110011111011111…
…101111010100110010
310221200101211012002201
4212133133233110302
51134121113301224
630553110133414
72662132221520
oct463737572462
9127611735081
1041330603314
111658a059000
12801565126a
133b88943cc0
1420011b7310
15111d71ea44
hex99f7ef532

41330603314 has 128 divisors (see below), whose sum is σ = 85333538304. Its totient is φ = 14615251200.

The previous prime is 41330603299. The next prime is 41330603393.

41330603314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14775364 + ... + 14778160.

It is an arithmetic number, because the mean of its divisors is an integer number (666668268).

Almost surely, 241330603314 is an apocalyptic number.

41330603314 is an abundant number, since it is smaller than the sum of its proper divisors (44002934990).

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

41330603314 is a wasteful number, since it uses less digits than its factorization.

41330603314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 41330603314 in words is "forty-one billion, three hundred thirty million, six hundred three thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 121 122 143 154 182 242 286 427 671 793 847 854 1001 1331 1342 1573 1586 1694 2002 2662 2797 3146 4697 5551 5594 7381 8723 9317 9394 11011 11102 14762 17303 17446 18634 19579 22022 30767 34606 36361 39158 51667 61061 61534 72722 81191 95953 103334 121121 122122 162382 170617 191906 215369 242242 254527 338437 341234 399971 430738 509054 568337 671671 676874 799942 1055483 1136674 1194319 1343342 1876787 2110966 2218021 2369059 2388638 2799797 3722807 3753574 4399681 4436042 4738118 5599594 7388381 7445614 8799362 13137509 14776762 15526147 20644657 24398231 26059649 26275018 30797767 31052294 41289314 48396491 48796462 52119298 61595534 96792982 144512599 170787617 227091227 268380541 289025198 338775437 341575234 454182454 536761082 677550874 1589638589 1878663787 2952185951 3179277178 3757327574 5904371902 20665301657 41330603314