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44614445431296 = 293134165953633
BaseRepresentation
bin10100010010011100111000…
…01010111111101000000000
312211222002200102002201011210
422021032130022333220000
521321430341012300141
6234515332052210120
712253200356043666
oct1211163412775000
9184862612081153
1044614445431296
1113240975393604
1250066b3609940
131bb817c9b9880
14b034ca3a4c36
155257cdd12916
hex28939c2bfa00

44614445431296 has 160 divisors (see below), whose sum is σ = 128003874102720. Its totient is φ = 13726936203264.

The previous prime is 44614445431261. The next prime is 44614445431379. The reversal of 44614445431296 is 69213454441644.

It is a super-2 number, since 2×446144454312962 (a number of 28 digits) contains 22 as substring.

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, 831820096 + ... + 831873728.

It is an arithmetic number, because the mean of its divisors is an integer number (800024213142).

Almost surely, 244614445431296 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 44614445431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64001937051360).

44614445431296 is an abundant number, since it is smaller than the sum of its proper divisors (83389428671424).

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

44614445431296 is a wasteful number, since it uses less digits than its factorization.

44614445431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95326 (or 95310 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 57.

The spelling of 44614445431296 in words is "forty-four trillion, six hundred fourteen billion, four hundred forty-five million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 41659 53633 83318 107266 124977 160899 166636 214532 249954 321798 333272 429064 499908 541567 643596 666544 697229 858128 999816 1083134 1287192 1333088 1394458 1624701 1716256 1999632 2091687 2166268 2574384 2666176 2788916 3249402 3432512 3999264 4183374 4332536 5148768 5332352 5577832 6498804 6865024 7998528 8366748 8665072 10297536 10664704 11155664 12997608 13730048 15997056 16733496 17330144 20595072 21329408 22311328 25995216 27460096 31994112 33466992 34660288 41190144 44622656 51990432 63988224 66933984 69320576 82380288 89245312 103980864 133867968 138641152 178490624 207961728 267735936 277282304 356981248 415923456 535471872 831846912 1070943744 2234297147 4468594294 6702891441 8937188588 13405782882 17874377176 26811565764 29045862911 35748754352 53623131528 58091725822 71497508704 87137588733 107246263056 116183451644 142995017408 174275177466 214492526112 232366903288 285990034816 348550354932 428985052224 464733806576 571980069632 697100709864 857970104448 929467613152 1143960139264 1394201419728 1715940208896 1858935226304 2788402839456 3431880417792 3717870452608 5576805678912 7435740905216 11153611357824 14871481810432 22307222715648 44614445431296