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44132444423144 = 2371173079804787
BaseRepresentation
bin10100000100011011000101…
…01011000100001111101000
312210021000112221011112000222
422002031202223010033220
521241031221233020034
6233510055353545212
712203315054060240
oct1202154253041750
9183230487145028
1044132444423144
111307551238a090
124b491b6415208
131b8189680853c
14ac80437c8b20
15517ebd43912e
hex282362ac43e8

44132444423144 has 64 divisors (see below), whose sum is σ = 103180882613760. Its totient is φ = 17192103963840.

The previous prime is 44132444423117. The next prime is 44132444423161.

44132444423144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44132444423095 and 44132444423104.

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 15 ways as a sum of consecutive naturals, for example, 401282 + ... + 9403505.

It is an arithmetic number, because the mean of its divisors is an integer number (1612201290840).

Almost surely, 244132444423144 is an apocalyptic number.

44132444423144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44132444423144 is an abundant number, since it is smaller than the sum of its proper divisors (59048438190616).

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

44132444423144 is a wasteful number, since it uses less digits than its factorization.

44132444423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812118 (or 9812114 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 4413244 and 4423144, that added together give a palindrome (8836388).

The spelling of 44132444423144 in words is "forty-four trillion, one hundred thirty-two billion, four hundred forty-four million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 7307 14614 29228 51149 58456 80377 102298 160754 204596 321508 409192 562639 643016 1125278 2250556 4501112 9804787 19609574 39219148 68633509 78438296 107852657 137267018 215705314 274534036 431410628 549068072 754968599 862821256 1509937198 3019874396 6039748792 71643578609 143287157218 286574314436 501505050263 573148628872 788079364699 1003010100526 1576158729398 2006020201052 3152317458796 4012040402104 5516555552893 6304634917592 11033111105786 22066222211572 44132444423144