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444235034543112 = 233261363100548067
BaseRepresentation
bin110010100000001111000011…
…1011011100100010000001000
32011020220110021100211201001200
41211000132013123210100020
5431211321322320334422
64212450431343144200
7162366631165452351
oct14500360733442010
92136813240751050
10444235034543112
111196020248a829a
12419a78862a5060
13160b5251359897
147b9b13a082d28
15365588cd802ac
hex19407876e4408

444235034543112 has 48 divisors (see below), whose sum is σ = 1203156170726640. Its totient is φ = 148075930221408.

The previous prime is 444235034543101. The next prime is 444235034543177. The reversal of 444235034543112 is 211345430532444.

It is a happy number.

444235034543112 is a `hidden beast` number, since 4 + 4 + 4 + 23 + 50 + 34 + 543 + 1 + 1 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 45855898 + ... + 54692169.

It is an arithmetic number, because the mean of its divisors is an integer number (25065753556805).

Almost surely, 2444235034543112 is an apocalyptic number.

It is an amenable number.

444235034543112 is an abundant number, since it is smaller than the sum of its proper divisors (758921136183528).

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

444235034543112 is a wasteful number, since it uses less digits than its factorization.

444235034543112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100609442 (or 100609435 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 444235034543112 in words is "four hundred forty-four trillion, two hundred thirty-five billion, thirty-four million, five hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 61363 122726 184089 245452 368178 490904 552267 736356 1104534 1472712 2209068 4418136 100548067 201096134 301644201 402192268 603288402 804384536 904932603 1206576804 1809865206 2413153608 3619730412 7239460824 6169931035321 12339862070642 18509793105963 24679724141284 37019586211926 49359448282568 55529379317889 74039172423852 111058758635778 148078344847704 222117517271556 444235034543112