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44313515442 = 23272259119391
BaseRepresentation
bin101001010001010010…
…101001010110110010
311020101021200211021200
4221101102221112302
51211223224443232
632205104232030
73126062444400
oct512122512662
9136337624250
1044313515442
111787a908039
12870860b616
134242924771
142205412470
15124553a77c
hexa514a95b2

44313515442 has 72 divisors (see below), whose sum is σ = 111737014272. Its totient is φ = 12655465200.

The previous prime is 44313515413. The next prime is 44313515459. The reversal of 44313515442 is 24451531344.

44313515442 is a `hidden beast` number, since 4 + 431 + 35 + 154 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44313515397 and 44313515406.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2275567 + ... + 2294957.

It is an arithmetic number, because the mean of its divisors is an integer number (1551902976).

Almost surely, 244313515442 is an apocalyptic number.

44313515442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

44313515442 is an abundant number, since it is smaller than the sum of its proper divisors (67423498830).

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

44313515442 is a wasteful number, since it uses less digits than its factorization.

44313515442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004 (or 21994 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 44313515442 in words is "forty-four billion, three hundred thirteen million, five hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 2591 5182 7773 15546 18137 19391 23319 36274 38782 46638 54411 58173 108822 116346 126959 135737 163233 174519 253918 271474 326466 349038 380877 407211 761754 814422 950159 1142631 1221633 1900318 2285262 2443266 2850477 5700954 8551431 17102862 50242081 100484162 150726243 301452486 351694567 452178729 703389134 904357458 1055083701 2110167402 2461861969 3165251103 4923723938 6330502206 7385585907 14771171814 22156757721 44313515442