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2312557334340 = 22351123291150439
BaseRepresentation
bin100001101001101111001…
…010001000111101000100
322012002010002121120001020
4201221233022020331010
5300342104134144330
64530212453231140
7326035220003541
oct41515712107504
98162102546036
102312557334340
11811828366250
123142329324b0
1313a0c4b35416
147dcdd64bbc8
154024cced210
hex21a6f288f44

2312557334340 has 96 divisors (see below), whose sum is σ = 7064161735680. Its totient is φ = 560592163200.

The previous prime is 2312557334323. The next prime is 2312557334377. The reversal of 2312557334340 is 434337552132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2312557334292 and 2312557334301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15296841 + ... + 15447279.

It is an arithmetic number, because the mean of its divisors is an integer number (73585018080).

Almost surely, 22312557334340 is an apocalyptic number.

2312557334340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312557334340 is an abundant number, since it is smaller than the sum of its proper divisors (4751604401340).

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

2312557334340 is a wasteful number, since it uses less digits than its factorization.

2312557334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173753 (or 173751 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 2312557334340 in words is "two trillion, three hundred twelve billion, five hundred fifty-seven million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 23291 46582 69873 93164 116455 139746 150439 232910 256201 279492 300878 349365 451317 465820 512402 601756 698730 752195 768603 902634 1024804 1281005 1397460 1504390 1537206 1654829 1805268 2256585 2562010 3008780 3074412 3309658 3843015 4513170 4964487 5124020 6619316 7686030 8274145 9026340 9928974 15372060 16548290 19857948 24822435 33096580 49644870 99289740 3503874749 7007749498 10511624247 14015498996 17519373745 21023248494 35038747490 38542622239 42046496988 52558121235 70077494980 77085244478 105116242470 115627866717 154170488956 192713111195 210232484940 231255733434 385426222390 462511466868 578139333585 770852444780 1156278667170 2312557334340