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44313314112 = 263417502829
BaseRepresentation
bin101001010001010001…
…111000001101000000
311020101021022121010000
4221101101320031000
51211223202022422
632205100040000
73126060645414
oct512121701500
9136337277100
1044313314112
111787a78a851
128708533000
134242883c32
14220539cd44
1512454eacac
hexa51478340

44313314112 has 140 divisors (see below), whose sum is σ = 139085794980. Its totient is φ = 13902188544.

The previous prime is 44313314107. The next prime is 44313314131. The reversal of 44313314112 is 21141331344.

It can be written as a sum of positive squares in 2 ways, for example, as 36873216576 + 7440097536 = 192024^2 + 86256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163287 + ... + 339542.

Almost surely, 244313314112 is an apocalyptic number.

It is an amenable number.

44313314112 is an abundant number, since it is smaller than the sum of its proper divisors (94772480868).

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

44313314112 is a wasteful number, since it uses less digits than its factorization.

44313314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502870 (or 502851 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 44313314112 its reverse (21141331344), we get a palindrome (65454645456).

The spelling of 44313314112 in words is "forty-four billion, three hundred thirteen million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 502829 1005658 1508487 2011316 3016974 4022632 4525461 6033948 8045264 8548093 9050922 12067896 13576383 16090528 17096186 18101844 24135792 25644279 27152766 32181056 34192372 36203688 40729149 48271584 51288558 54305532 68384744 72407376 76932837 81458298 96543168 102577116 108611064 136769488 144814752 153865674 162916596 205154232 217222128 230798511 273538976 289629504 307731348 325833192 410308464 434444256 461597022 547077952 615462696 651666384 692395533 820616928 868888512 923194044 1230925392 1303332768 1384791066 1641233856 1846388088 2461850784 2606665536 2769582132 3692776176 4923701568 5539164264 7385552352 11078328528 14771104704 22156657056 44313314112