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405235561013231 = 131929476091188293
BaseRepresentation
bin101110000100011110100000…
…1101010100001111111101111
31222010211010210222222120110112
41130020331001222201333233
5411103334412104410411
63553510351405330235
7151233205654156064
oct13410750152417757
91863733728876415
10405235561013231
111081364887a4993
123954944956697b
131451671b150140
14720d711cd6c6b
1531cb190c20b8b
hex1708f41aa1fef

405235561013231 has 32 divisors (see below), whose sum is σ = 475227289656000. Its totient is φ = 342148699081728.

The previous prime is 405235561013147. The next prime is 405235561013233. The reversal of 405235561013231 is 132310165532504.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405235561013231 is a prime.

It is a super-2 number, since 2×4052355610132312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405235561013233) 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, 340429121 + ... + 341617413.

It is an arithmetic number, because the mean of its divisors is an integer number (14850852801750).

Almost surely, 2405235561013231 is an apocalyptic number.

405235561013231 is a deficient number, since it is larger than the sum of its proper divisors (69991728642769).

405235561013231 is a wasteful number, since it uses less digits than its factorization.

405235561013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235963.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 405235561013231 in words is "four hundred five trillion, two hundred thirty-five billion, five hundred sixty-one million, thirteen thousand, two hundred thirty-one".

Divisors: 1 13 19 29 247 377 551 7163 47609 618917 904571 1188293 1380661 11759423 15447809 17948593 22577567 26232559 34460497 293508371 341023267 447986461 654749443 8511742759 56573441437 735454738681 1074895387303 1640629801673 13973640034939 21328187421749 31171966231787 405235561013231