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104444401712 = 24717234158171
BaseRepresentation
bin110000101000101011…
…1110001100000110000
3100222120220120100020112
41201101113301200300
53202400231323322
6115551530000452
710355141523620
oct1412127614060
9328526510215
10104444401712
1140327161972
12182aa276128
139b0651a941
1450ab416880
152ab44e45e2
hex18515f1830

104444401712 has 160 divisors (see below), whose sum is σ = 261757246464. Its totient is φ = 39313612800.

The previous prime is 104444401709. The next prime is 104444401741. The reversal of 104444401712 is 217104444401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766387 + ... + 1824557.

Almost surely, 2104444401712 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 104444401712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130878623232).

104444401712 is an abundant number, since it is smaller than the sum of its proper divisors (157312844752).

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

104444401712 is a wasteful number, since it uses less digits than its factorization.

104444401712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58267 (or 58261 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 104444401712 in words is "one hundred four billion, four hundred forty-four million, four hundred one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 41 46 56 68 82 92 112 119 136 161 164 184 238 272 287 322 328 368 391 476 574 644 656 697 782 943 952 1148 1288 1394 1564 1886 1904 2296 2576 2737 2788 3128 3772 4592 4879 5474 5576 6256 6601 7544 9758 10948 11152 13202 15088 16031 19516 21896 26404 32062 39032 43792 52808 58171 64124 78064 105616 112217 116342 128248 224434 232684 256496 407197 448868 465368 814394 897736 930736 988907 1337933 1628788 1795472 1977814 2385011 2675866 3257576 3955628 4770022 5351732 6515152 6922349 7911256 9365531 9540044 10703464 13844698 15822512 16695077 18731062 19080088 21406928 22744861 27689396 33390154 37462124 38160176 40545187 45489722 54855253 55378792 66780308 74924248 81090374 90979444 109710506 110757584 133560616 149848496 159214027 162180748 181958888 219421012 267121232 283816309 318428054 324361496 363917776 383986771 438842024 567632618 636856108 648722992 767973542 877684048 932539301 1135265236 1273712216 1535947084 1865078602 2270530472 2547424432 3071894168 3730157204 4541060944 6143788336 6527775107 7460314408 13055550214 14920628816 26111100428 52222200856 104444401712