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44492881248 = 25321937219757
BaseRepresentation
bin101001011011111110…
…110111110101100000
311020211210012112220200
4221123332313311200
51212110134144443
632234552505200
73133401151644
oct513376676540
9136753175820
1044492881248
1117962087242
1287586ab200
134270b35a8a
142221182c24
15125616add3
hexa5bfb7d60

44492881248 has 144 divisors (see below), whose sum is σ = 136786169520. Its totient is φ = 13670581248.

The previous prime is 44492881243. The next prime is 44492881273. The reversal of 44492881248 is 84218829444.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 44492881194 and 44492881203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44492881243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92586 + ... + 312342.

It is an arithmetic number, because the mean of its divisors is an integer number (949903955).

Almost surely, 244492881248 is an apocalyptic number.

44492881248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44492881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68393084760).

44492881248 is an abundant number, since it is smaller than the sum of its proper divisors (92293288272).

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

44492881248 is a wasteful number, since it uses less digits than its factorization.

44492881248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219829 (or 219818 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 44492881248 in words is "forty-four billion, four hundred ninety-two million, eight hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 72 74 76 96 111 114 144 148 152 171 222 228 288 296 304 333 342 444 456 592 608 666 684 703 888 912 1184 1332 1368 1406 1776 1824 2109 2664 2736 2812 3552 4218 5328 5472 5624 6327 8436 10656 11248 12654 16872 22496 25308 33744 50616 67488 101232 202464 219757 439514 659271 879028 1318542 1758056 1977813 2637084 3516112 3955626 4175383 5274168 7032224 7911252 8131009 8350766 10548336 12526149 15822504 16262018 16701532 21096672 24393027 25052298 31645008 32524036 33403064 37578447 48786054 50104596 63290016 65048072 66806128 73179081 75156894 97572108 100209192 130096144 133612256 146358162 150313788 154489171 195144216 200418384 260192288 292716324 300627576 308978342 390288432 400836768 463467513 585432648 601255152 617956684 780576864 926935026 1170865296 1202510304 1235913368 1390402539 1853870052 2341730592 2471826736 2780805078 3707740104 4943653472 5561610156 7415480208 11123220312 14830960416 22246440624 44492881248