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44152411425144 = 23311840671989413
BaseRepresentation
bin10100000101000000010001…
…10011001000100101111000
312210022221002110121022112120
422002200020303020211320
521241343114311101034
6233523200544041240
712204622625561121
oct1202401063104570
9183287073538476
1044152411425144
1113082a29220230
124b51049303220
131b837293cb719
14ac8db9561048
1551878b337c49
hex282808cc8978

44152411425144 has 64 divisors (see below), whose sum is σ = 120417160429440. Its totient is φ = 13379352735360.

The previous prime is 44152411425131. The next prime is 44152411425169.

44152411425144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44152411425096 and 44152411425105.

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, 21198982 + ... + 23188394.

It is an arithmetic number, because the mean of its divisors is an integer number (1881518131710).

Almost surely, 244152411425144 is an apocalyptic number.

44152411425144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44152411425144 is an abundant number, since it is smaller than the sum of its proper divisors (76264749004296).

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

44152411425144 is a wasteful number, since it uses less digits than its factorization.

44152411425144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073500 (or 2073496 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The spelling of 44152411425144 in words is "forty-four trillion, one hundred fifty-two billion, four hundred eleven million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 84067 168134 252201 336268 504402 672536 924737 1008804 1849474 1989413 2017608 2774211 3698948 3978826 5548422 5968239 7397896 7957652 11096844 11936478 15915304 21883543 22193688 23872956 43767086 47745912 65650629 87534172 131301258 175068344 262602516 525205032 167243982671 334487965342 501731948013 668975930684 1003463896026 1337951861368 1839683809381 2006927792052 3679367618762 4013855584104 5519051428143 7358735237524 11038102856286 14717470475048 22076205712572 44152411425144