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31340400404313 = 37111347673329941
BaseRepresentation
bin1110010000001000000010…
…11011101110011101011001
311002222010001101112101200010
413020010001123232131121
513101440120000414223
6150353325311432133
76413161224006120
oct710040133563531
9132863041471603
1031340400404313
119a93430a92a40
123621b90825649
13146450553c570
147a4c52370ab7
15395380929393
hex1c81016ee759

31340400404313 has 128 divisors (see below), whose sum is σ = 57384948547584. Its totient is φ = 14686711603200.

The previous prime is 31340400404311. The next prime is 31340400404389.

31340400404313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31340400404313 - 21 = 31340400404311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31340400404311) 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, 94822923 + ... + 95152863.

It is an arithmetic number, because the mean of its divisors is an integer number (448319910528).

Almost surely, 231340400404313 is an apocalyptic number.

31340400404313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31340400404313 is a deficient number, since it is larger than the sum of its proper divisors (26044548143271).

31340400404313 is a wasteful number, since it uses less digits than its factorization.

31340400404313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330695.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 31340400 and 404313, that added together give a palindrome (31744713).

The spelling of 31340400404313 in words is "thirty-one trillion, three hundred forty billion, four hundred million, four hundred four thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 429 517 611 673 987 1001 1551 1833 2019 3003 3619 4277 4711 6721 7403 8749 10857 12831 14133 20163 22209 26247 31631 47047 51821 61243 94893 96239 141141 155463 183729 221417 288717 329941 347941 411203 664251 673673 989823 1043823 1233609 2021019 2309587 2435587 2878421 3629351 4289233 4523233 6928761 7306761 8635263 10888053 12867699 13569699 15507227 25405457 30024631 31662631 46521681 47181563 76216371 90073893 94987893 108550589 141544689 170579497 201593951 222050293 325651767 330270941 511738491 604781853 666150879 990812823 1194056479 1411157657 1554352051 2217533461 2442553223 2886653809 3582169437 4233472971 4663056153 6652600383 7327659669 8659961427 10436363771 15522734227 17097872561 20206576663 31309091313 31753191899 46568202681 51293617683 60619729989 73054546397 95259575697 114800001481 135672729023 219163639191 222272343293 344400004443 407018187069 666817029879 803600010367 949709103161 1492400019253 2410800031101 2849127309483 4477200057759 10446800134771 31340400404313