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31420635554256 = 24313711279955411
BaseRepresentation
bin1110010010011101011111…
…10100100010000111010000
311010020210011010010022202020
413021032233310202013100
513104243430200214011
6150454235105251440
76422031432353064
oct711165764420720
9133223133108666
1031420635554256
11a0144646aa713
123635643333b80
13146bc512b7750
147a8aa443baa4
153974c9897006
hex1c93afd221d0

31420635554256 has 160 divisors (see below), whose sum is σ = 88653525811200. Its totient is φ = 9530803699200.

The previous prime is 31420635554251. The next prime is 31420635554323. The reversal of 31420635554256 is 65245553602413.

It is a junction number, because it is equal to n+sod(n) for n = 31420635554199 and 31420635554208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420635554251) 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, 567019191 + ... + 567074601.

It is an arithmetic number, because the mean of its divisors is an integer number (554084536320).

Almost surely, 231420635554256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420635554256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44326762905600).

31420635554256 is an abundant number, since it is smaller than the sum of its proper divisors (57232890256944).

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

31420635554256 is a wasteful number, since it uses less digits than its factorization.

31420635554256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68305 (or 68299 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 31420635554256 in words is "thirty-one trillion, four hundred twenty billion, six hundred thirty-five million, five hundred fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 12799 14768 22152 25598 38397 44304 51196 55411 76794 102392 110822 153588 166233 166387 204784 221644 307176 332466 332774 443288 499161 614352 664932 665548 720343 886576 908729 998322 1329864 1331096 1440686 1817458 1996644 2161029 2659728 2662192 2726187 2881372 3634916 3934181 3993288 4322058 5452374 5762744 7269832 7868362 7986576 8644116 10904748 11525488 11802543 11813477 14539664 15736724 17288232 21809496 23605086 23626954 31473448 34576464 35440431 43618992 47210172 47253908 51144353 62946896 70880862 94420344 94507816 102288706 141761724 153433059 188840688 189015632 204577412 283523448 306866118 409154824 567046896 613732236 709205389 818309648 1227464472 1418410778 2127616167 2454928944 2836821556 4255232334 5673643112 8510464668 9219670057 11347286224 17020929336 18439340114 27659010171 34041858672 36878680228 50353582619 55318020342 73757360456 100707165238 110636040684 147514720912 151060747857 201414330476 221272081368 302121495714 402828660952 442544162736 604242991428 654596574047 805657321904 1208485982856 1309193148094 1963789722141 2416971965712 2618386296188 3927579444282 5236772592376 7855158888564 10473545184752 15710317777128 31420635554256