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3468960141456 = 243276726118541
BaseRepresentation
bin110010011110101110001…
…000110001000010010000
3110021121222210111210120010
4302132232020301002100
5423313412244011311
611213341314514520
7505424031455145
oct62365610610220
913247883453503
103468960141456
1111181a5623017
12480383895a40
131c2177031374
14bdc8194a3cc
15603802e6da6
hex327ae231090

3468960141456 has 40 divisors (see below), whose sum is σ = 8964719407744. Its totient is φ = 1155902106240.

The previous prime is 3468960141377. The next prime is 3468960141461. The reversal of 3468960141456 is 6541410698643.

It is a junction number, because it is equal to n+sod(n) for n = 3468960141396 and 3468960141405.

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 7 ways as a sum of consecutive naturals, for example, 12926455 + ... + 13192086.

Almost surely, 23468960141456 is an apocalyptic number.

It is an amenable number.

3468960141456 is an abundant number, since it is smaller than the sum of its proper divisors (5495759266288).

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

3468960141456 is a wasteful number, since it uses less digits than its factorization.

3468960141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26121319 (or 26121313 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 3468960141456 in words is "three trillion, four hundred sixty-eight billion, nine hundred sixty million, one hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2767 5534 8301 11068 16602 22136 33204 44272 66408 132816 26118541 52237082 78355623 104474164 156711246 208948328 313422492 417896656 626844984 1253689968 72270002947 144540005894 216810008841 289080011788 433620017682 578160023576 867240035364 1156320047152 1734480070728 3468960141456