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31077082140 = 223513210728643
BaseRepresentation
bin11100111100010101…
…101010010000011100
32222012211000100022020
4130330111222100130
51002121213112030
622135425420140
72150055561006
oct347425522034
988184010266
1031077082140
11121a8225865
12603379a650
132c13580500
14170b4dd376
15c1d484510
hex73c56a41c

31077082140 has 144 divisors (see below), whose sum is σ = 95108162688. Its totient is φ = 7577985792.

The previous prime is 31077082139. The next prime is 31077082159. The reversal of 31077082140 is 4128077013.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070659 + ... + 1099301.

It is an arithmetic number, because the mean of its divisors is an integer number (660473352).

Almost surely, 231077082140 is an apocalyptic number.

31077082140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31077082140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47554081344).

31077082140 is an abundant number, since it is smaller than the sum of its proper divisors (64031080548).

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

31077082140 is a wasteful number, since it uses less digits than its factorization.

31077082140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28788 (or 28773 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 31077082140 in words is "thirty-one billion, seventy-seven million, eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 169 195 214 260 321 338 390 428 507 535 642 676 780 845 1014 1070 1284 1391 1605 1690 2028 2140 2535 2782 3210 3380 4173 5070 5564 6420 6955 8346 10140 13910 16692 18083 20865 27820 28643 36166 41730 54249 57286 72332 83460 85929 90415 108498 114572 143215 171858 180830 216996 271245 286430 343716 361660 372359 429645 542490 572860 744718 859290 1084980 1117077 1489436 1718580 1861795 2234154 3064801 3723590 4468308 4840667 5585385 6129602 7447180 9194403 9681334 11170770 12259204 14522001 15324005 18388806 19362668 22341540 24203335 29044002 30648010 36777612 39842413 45972015 48406670 58088004 61296020 72610005 79684826 91944030 96813340 119527239 145220010 159369652 183888060 199212065 239054478 290440020 398424130 478108956 517951369 597636195 796848260 1035902738 1195272390 1553854107 2071805476 2390544780 2589756845 3107708214 5179513690 6215416428 7769270535 10359027380 15538541070 31077082140