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1261631310440 = 235126972484113
BaseRepresentation
bin10010010110111111000…
…101100000101001101000
311110121111020220001221212
4102112333011200221220
5131132310103413230
62403330241252252
7160102254124604
oct22267705405150
94417436801855
101261631310440
11447066a908a6
12184619934088
1391c81cc1237
14450c5902504
1522c40774895
hex125bf160a68

1261631310440 has 32 divisors (see below), whose sum is σ = 2838895161480. Its totient is φ = 504612575232.

The previous prime is 1261631310427. The next prime is 1261631310481. The reversal of 1261631310440 is 440131361621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484084760644 + 777546549796 = 695762^2 + 881786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1261631310397 and 1261631310406.

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 7 ways as a sum of consecutive naturals, for example, 734177 + ... + 1749936.

Almost surely, 21261631310440 is an apocalyptic number.

1261631310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261631310440 is an abundant number, since it is smaller than the sum of its proper divisors (1577263851040).

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

1261631310440 is a wasteful number, since it uses less digits than its factorization.

1261631310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496821 (or 2496817 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1261631310440 in words is "one trillion, two hundred sixty-one billion, six hundred thirty-one million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 12697 25394 50788 63485 101576 126970 253940 507880 2484113 4968226 9936452 12420565 19872904 24841130 49682260 99364520 31540782761 63081565522 126163131044 157703913805 252326262088 315407827610 630815655220 1261631310440