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444746027441144 = 231113388764010001
BaseRepresentation
bin110010100011111101000000…
…0111110110001101111111000
32011022201022020100010111110202
41211013322000332301233320
5431243204331011104034
64213521300542301332
7162451561106435312
oct14507720076615770
92138638210114422
10444746027441144
11119789804a92790
1241a6a914887848
13161214a7ab6540
147bb7b732487b2
153663ce8aed47e
hex1947e80fb1bf8

444746027441144 has 32 divisors (see below), whose sum is σ = 979685305205040. Its totient is φ = 186606724800000.

The previous prime is 444746027441119. The next prime is 444746027441161. The reversal of 444746027441144 is 441144720647444.

It is a self number, because there is not a number n which added to its sum of digits gives 444746027441144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194382003857 + ... + 194382006144.

Almost surely, 2444746027441144 is an apocalyptic number.

444746027441144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444746027441144 is an abundant number, since it is smaller than the sum of its proper divisors (534939277763896).

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

444746027441144 is a wasteful number, since it uses less digits than its factorization.

444746027441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388764010031 (or 388764010027 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 56.

The spelling of 444746027441144 in words is "four hundred forty-four trillion, seven hundred forty-six billion, twenty-seven million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 388764010001 777528020002 1555056040004 3110112080008 4276404110011 5053932130013 8552808220022 10107864260026 17105616440044 20215728520052 34211232880088 40431457040104 55593253430143 111186506860286 222373013720572 444746027441144