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41234040334113 = 31129537917775791
BaseRepresentation
bin10010110000000100011000…
…10100111010011100100001
312101222221021011112021010020
421120002030110322130201
520401034303311142423
6223410353455224053
711454026646601254
oct1130021424723441
9171887234467106
1041234040334113
1112158292887aa0
12475b524818029
131a0147931b8b3
14a27a498a109b
154b78d30c24e3
hex25808c53a721

41234040334113 has 128 divisors (see below), whose sum is σ = 64062893260800. Its totient is φ = 23356485734400.

The previous prime is 41234040334051. The next prime is 41234040334133. The reversal of 41234040334113 is 31143304043214.

It is not a de Polignac number, because 41234040334113 - 29 = 41234040333601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41234040334133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7120363248 + ... + 7120369038.

It is an arithmetic number, because the mean of its divisors is an integer number (500491353600).

Almost surely, 241234040334113 is an apocalyptic number.

It is an amenable number.

41234040334113 is a deficient number, since it is larger than the sum of its proper divisors (22828852926687).

41234040334113 is a wasteful number, since it uses less digits than its factorization.

41234040334113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 41234040334113 its reverse (31143304043214), we get a palindrome (72377344377327).

The spelling of 41234040334113 in words is "forty-one trillion, two hundred thirty-four billion, forty million, three hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 11 29 33 53 79 87 159 237 319 583 869 957 1537 1749 1777 2291 2607 4187 4611 5331 5791 6873 12561 16907 17373 19547 25201 46057 50721 51533 58641 63701 75603 94181 121423 138171 140383 154599 167939 191103 282543 306923 364269 421149 457489 503817 566863 920769 1035991 1335653 1372467 1544213 1700589 1847329 2731249 3107973 3376153 4006959 4071107 4632639 5032379 5541987 7440299 8193747 8900767 10128459 10290607 12213321 13267181 15097137 22320897 24246917 26702301 30043739 30871821 39801543 44782177 72740751 81843289 90131217 97908437 113196677 134346531 145938991 215768671 245529867 266716087 293725311 298427603 339590031 437816973 545402171 647306013 703160593 800148261 812957953 895282809 1636206513 2109481779 2373455381 2438873859 3282703633 5999423881 7120366143 7734766523 8942537483 9848110899 15816662959 17998271643 23204299569 23575780637 26827612449 43086771509 47449988877 70727341911 129260314527 173983292549 259333587007 473954486599 521949877647 778000761021 1249516373761 1421863459797 3748549121283 13744680111371 41234040334113