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444664424466444 = 2237133711005455511
BaseRepresentation
bin110010100011010111000000…
…1000100001000100000001100
32011022102111121021201212120110
41211012232001010020200030
5431240340220130411234
64213420003323320020
7162442641651544140
oct14506560104104014
92138374537655513
10444664424466444
1111975813a263026
1241a56b40080010
13161168a18469b0
147bb3c31643220
153661b1ea441e9
hex1946b8110880c

444664424466444 has 96 divisors (see below), whose sum is σ = 1311498122454016. Its totient is φ = 114104562727680.

The previous prime is 444664424466413. The next prime is 444664424466463.

444664424466444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 5502687352 + ... + 5502768159.

Almost surely, 2444664424466444 is an apocalyptic number.

It is an amenable number.

444664424466444 is an abundant number, since it is smaller than the sum of its proper divisors (866833697987572).

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

444664424466444 is a wasteful number, since it uses less digits than its factorization.

444664424466444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005455575 (or 11005455573 counting only the distinct ones).

The product of its digits is 2717908992, while the sum is 66.

The spelling of 444664424466444 in words is "four hundred forty-four trillion, six hundred sixty-four billion, four hundred twenty-four million, four hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 40404 11005455511 22010911022 33016366533 44021822044 66032733066 77038188577 132065466132 143070921643 154076377154 231114565731 286141843286 308152754308 407201853907 429212764929 462229131462 572283686572 814403707814 858425529858 924458262924 1001496451501 1221605561721 1628807415628 1716851059716 2002992903002 2443211123442 2850412977349 3004489354503 4005985806004 4886422246884 5293624100791 5700825954698 6008978709006 8551238932047 10587248201582 11401651909396 12017957418012 15880872302373 17102477864094 21174496403164 31761744604746 34204955728188 37055368705537 63523489209492 74110737411074 111166106116611 148221474822148 222332212233222 444664424466444