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44102324832 = 2532325937703
BaseRepresentation
bin101001000100101101…
…000001001001100000
311012211120022020020020
4221010231001021200
51210310143343312
632132121513440
73120616401336
oct510455011140
9135746266206
1044102324832
1117781681445
128669942880
13420ac4c9c7
1421c5359b56
151231c2078c
hexa44b41260

44102324832 has 96 divisors (see below), whose sum is σ = 120864296448. Its totient is φ = 14054363136.

The previous prime is 44102324803. The next prime is 44102324863. The reversal of 44102324832 is 23842320144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44102324793 and 44102324802.

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, 5721493 + ... + 5729195.

It is an arithmetic number, because the mean of its divisors is an integer number (1259003088).

Almost surely, 244102324832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44102324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60432148224).

44102324832 is an abundant number, since it is smaller than the sum of its proper divisors (76761971616).

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

44102324832 is a wasteful number, since it uses less digits than its factorization.

44102324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 44102324832 its reverse (23842320144), we get a palindrome (67944644976).

The spelling of 44102324832 in words is "forty-four billion, one hundred two million, three hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 2593 5186 7703 7779 10372 15406 15558 20744 23109 30812 31116 41488 46218 59639 61624 62232 82976 92436 119278 123248 124464 177169 178917 184872 238556 246496 248928 354338 357834 369744 477112 531507 708676 715668 739488 954224 1063014 1417352 1431336 1908448 2126028 2834704 2862672 4252056 5669408 5725344 8504112 17008224 19973879 39947758 59921637 79895516 119843274 159791032 239686548 319582064 459399217 479373096 639164128 918798434 958746192 1378197651 1837596868 1917492384 2756395302 3675193736 5512790604 7350387472 11025581208 14700774944 22051162416 44102324832