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444672617361340 = 225749914771200723
BaseRepresentation
bin110010100011011010110100…
…1011001100010111110111100
32011022110021202021010001112011
41211012311221121202332330
5431241004010021030330
64213423440313421004
7162443351664160114
oct14506655131427674
92138407667101464
10444672617361340
11119760663a00245
1241a58647a0a764
13161175a90270b4
147bb43ab7a0044
153661e4de4382a
hex1946d69662fbc

444672617361340 has 48 divisors (see below), whose sum is σ = 934004902320000. Its totient is φ = 177832401776960.

The previous prime is 444672617361317. The next prime is 444672617361361. The reversal of 444672617361340 is 43163716276444.

It is a super-3 number, since 3×4446726173613403 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215254219 + ... + 2215454941.

It is an arithmetic number, because the mean of its divisors is an integer number (19458435465000).

Almost surely, 2444672617361340 is an apocalyptic number.

It is an amenable number.

444672617361340 is an abundant number, since it is smaller than the sum of its proper divisors (489332284958660).

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

444672617361340 is a wasteful number, since it uses less digits than its factorization.

444672617361340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223002 (or 223000 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 58.

The spelling of 444672617361340 in words is "four hundred forty-four trillion, six hundred seventy-two billion, six hundred seventeen million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 7499 14771 14998 29542 29996 37495 59084 73855 74990 147710 149980 200723 295420 401446 802892 1003615 2007230 4014460 110767729 221535458 443070916 553838645 1107677290 1505221777 2215354580 2964879433 3010443554 5929758866 6020887108 7526108885 11859517732 14824397165 15052217770 29648794330 30104435540 59297588660 22233630868067 44467261736134 88934523472268 111168154340335 222336308680670 444672617361340