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320100444342 = 232774314992281
BaseRepresentation
bin1001010100001110111…
…10010010100010110110
31010121020100110101201200
410222013132102202312
520221031203204332
6403015131233330
732061246612030
oct4520736224266
91117210411650
10320100444342
111138323a0678
1252054ba8846
1324254274363
14116c88d2c50
1584d716b17c
hex4a877928b6

320100444342 has 96 divisors (see below), whose sum is σ = 794574144000. Its totient is φ = 91233233280.

The previous prime is 320100444331. The next prime is 320100444359. The reversal of 320100444342 is 243444001023.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 140332242 + ... + 140334522.

It is an arithmetic number, because the mean of its divisors is an integer number (8276814000).

Almost surely, 2320100444342 is an apocalyptic number.

320100444342 is an abundant number, since it is smaller than the sum of its proper divisors (474473699658).

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

320100444342 is a wasteful number, since it uses less digits than its factorization.

320100444342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 320100444342 its reverse (243444001023), we get a palindrome (563544445365).

The spelling of 320100444342 in words is "three hundred twenty billion, one hundred million, four hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 743 1486 1499 2229 2281 2998 4458 4497 4562 5201 6687 6843 8994 10402 10493 13374 13491 13686 15603 15967 20529 20986 26982 31206 31479 31934 41058 46809 47901 62958 93618 94437 95802 143703 188874 287406 1113757 1694783 2227514 3341271 3389566 3419219 5084349 6682542 6838438 7796299 10023813 10168698 10257657 11863481 15253047 15592598 20047626 20515314 23388897 23726962 23934533 30506094 30772971 35590443 46777794 47869066 61545942 70166691 71180886 71803599 106771329 140333382 143607198 213542658 215410797 430821594 2540479717 5080959434 7621439151 15242878302 17783358019 22864317453 35566716038 45728634906 53350074057 106700148114 160050222171 320100444342