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31406948118 = 23271373262657
BaseRepresentation
bin11101001111111111…
…111111111100010110
310000001210201021100200
4131033333333330112
51003310134314433
622232251521330
72161202440260
oct351777777426
9100053637320
1031406948118
1112357448a77
126106159246
132c66a07290
14173d248b30
15c3c3e2613
hex74fffff16

31406948118 has 96 divisors (see below), whose sum is σ = 84899470656. Its totient is φ = 8169652224.

The previous prime is 31406948117. The next prime is 31406948141. The reversal of 31406948118 is 81184960413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406948117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11755 + ... + 250902.

It is an arithmetic number, because the mean of its divisors is an integer number (884369486).

Almost surely, 231406948118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31406948118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42449735328).

31406948118 is an abundant number, since it is smaller than the sum of its proper divisors (53492522538).

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

31406948118 is a wasteful number, since it uses less digits than its factorization.

31406948118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262758 (or 262755 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31406948118 in words is "thirty-one billion, four hundred six million, nine hundred forty-eight thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 73 78 91 117 126 146 182 219 234 273 438 511 546 657 819 949 1022 1314 1533 1638 1898 2847 3066 4599 5694 6643 8541 9198 13286 17082 19929 39858 59787 119574 262657 525314 787971 1575942 1838599 2363913 3414541 3677198 4727826 5515797 6829082 10243623 11031594 16547391 19173961 20487246 23901787 30730869 33094782 38347922 47803574 57521883 61461738 71705361 115043766 134217727 143410722 172565649 215116083 249261493 268435454 345131298 402653181 430232166 498522986 747784479 805306362 1207959543 1495568958 1744830451 2243353437 2415919086 3489660902 4486706874 5234491353 10468982706 15703474059 31406948118