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31430671218 = 235179439823
BaseRepresentation
bin11101010001011010…
…011111101101110010
310000010110100112100000
4131101122133231302
51003332222434333
622234500210430
72161611203652
oct352132375562
9100113315300
1031430671218
1112369881541
126112099a16
132c6b8c220b
141742462362
15c3e52b713
hex75169fb72

31430671218 has 96 divisors (see below), whose sum is σ = 71264793600. Its totient is φ = 10381998096.

The previous prime is 31430671199. The next prime is 31430671271. The reversal of 31430671218 is 81217603413.

It is a happy number.

31430671218 is a `hidden beast` number, since 3 + 1 + 430 + 6 + 7 + 1 + 218 = 666.

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, 38189955 + ... + 38190777.

It is an arithmetic number, because the mean of its divisors is an integer number (742341600).

Almost surely, 231430671218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430671218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35632396800).

31430671218 is an abundant number, since it is smaller than the sum of its proper divisors (39834122382).

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

31430671218 is a wasteful number, since it uses less digits than its factorization.

31430671218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 31430671218 in words is "thirty-one billion, four hundred thirty million, six hundred seventy-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 439 486 537 823 878 1074 1317 1611 1646 2469 2634 3222 3951 4833 4938 7407 7902 9666 11853 14499 14814 22221 23706 28998 35559 43497 44442 66663 71118 78581 86994 106677 133326 147317 157162 199989 213354 235743 294634 361297 399978 441951 471486 707229 722594 883902 1083891 1325853 1414458 2121687 2167782 2651706 3251673 3977559 4243374 6365061 6503346 7955118 9755019 11932677 12730122 19095183 19510038 23865354 29265057 35798031 38190366 58530114 64672163 71596062 87795171 129344326 175590342 194016489 388032978 582049467 1164098934 1746148401 3492296802 5238445203 10476890406 15715335609 31430671218