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1312540002444 = 22311231471293899
BaseRepresentation
bin10011000110011001011…
…110110000100010001100
311122110220011120120200010
4103012121132300202030
5133001040220034234
62442550023233220
7163553651640306
oct23063136604214
94573804516603
101312540002444
11466710682680
12192466ba8810
1396a060aba28
1447754bb2976
152421ecb16e9
hex131997b088c

1312540002444 has 96 divisors (see below), whose sum is σ = 3488654131200. Its totient is φ = 380186452800.

The previous prime is 1312540002443. The next prime is 1312540002493. The reversal of 1312540002444 is 4442000452131.

It is a super-2 number, since 2×13125400024442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312540002443) 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, 4319007 + ... + 4612905.

It is an arithmetic number, because the mean of its divisors is an integer number (36340147200).

Almost surely, 21312540002444 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 1312540002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744327065600).

1312540002444 is an abundant number, since it is smaller than the sum of its proper divisors (2176114128756).

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

1312540002444 is a wasteful number, since it uses less digits than its factorization.

1312540002444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295411 (or 295409 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1312540002444 its reverse (4442000452131), we get a palindrome (5754540454575).

The spelling of 1312540002444 in words is "one trillion, three hundred twelve billion, five hundred forty million, two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1471 1518 2942 3036 4413 5884 8826 16181 17652 32362 33833 48543 64724 67666 97086 101499 135332 194172 202998 293899 372163 405996 587798 744326 881697 1116489 1175596 1488652 1763394 2232978 3232889 3526788 4465956 6465778 6759677 9698667 12931556 13519354 19397334 20279031 27038708 38794668 40558062 74356447 81116124 148712894 223069341 297425788 432325429 446138682 864650858 892277364 1296976287 1729301716 2593952574 4755579719 5187905148 9511159438 9943484867 14266739157 19022318876 19886969734 28533478314 29830454601 39773939468 57066956628 59660909202 109378333537 119321818404 218756667074 328135000611 437513334148 656270001222 1312540002444