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313242800654644 = 227174639531491421
BaseRepresentation
bin100011100111001001000010…
…1110111001000100100110100
31112002002201102100201100001021
41013032102011313020210310
5312024132223431422034
63030113431145310524
7122660021416662250
oct10716220567104464
91462081370640037
10313242800654644
1190899586823773
122b170678195444
13105a289175ab43
14574d065061260
15263326dc6a6b4
hex11ce485dc8934

313242800654644 has 96 divisors (see below), whose sum is σ = 665468392006656. Its totient is φ = 125944763535360.

The previous prime is 313242800654617. The next prime is 313242800654659. The reversal of 313242800654644 is 446456008242313.

It is a junction number, because it is equal to n+sod(n) for n = 313242800654591 and 313242800654600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209284054 + ... + 210775474.

It is an arithmetic number, because the mean of its divisors is an integer number (6931962416736).

Almost surely, 2313242800654644 is an apocalyptic number.

313242800654644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313242800654644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332734196003328).

313242800654644 is an abundant number, since it is smaller than the sum of its proper divisors (352225591352012).

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

313242800654644 is a wasteful number, since it uses less digits than its factorization.

313242800654644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492865 (or 1492863 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 52.

Adding to 313242800654644 its reverse (446456008242313), we get a palindrome (759698808896957).

The spelling of 313242800654644 in words is "three hundred thirteen trillion, two hundred forty-two billion, eight hundred million, six hundred fifty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 463 476 926 953 1852 1906 3241 3812 6482 6671 7871 12964 13342 15742 16201 26684 31484 32402 55097 64804 110194 113407 220388 226814 441239 453628 882478 1491421 1764956 2982842 3088673 5965684 6177346 7501063 10439947 12354692 15002126 20879894 25354157 30004252 41759788 50708314 52507441 101416628 105014882 177479099 210029764 354958198 690527923 709916396 1381055846 1421324213 2762111692 2842648426 4833695461 5685296852 9667390922 9949269491 11738974691 19334781844 19898538982 23477949382 24162511621 39797077964 46955898764 48325023242 82172822837 96650046484 164345645674 169137581347 328691291348 338275162694 658073110619 676550325388 1316146221238 2632292442476 4606511774333 9213023548666 11187242880523 18426047097332 22374485761046 44748971522092 78310700163661 156621400327322 313242800654644