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44454355054120 = 23511612696157147
BaseRepresentation
bin10100001101110010101100…
…00010101010111000101000
312211101210110102210221000001
422012321112002222320220
521311320004343212440
6234314014311552344
712235502234224324
oct1206712602527050
9184353412727001
1044454355054120
1113189a93561770
124b9b67568b6b4
131ba6048ac843b
14ad9860886984
1552155e471b9a
hex286e560aae28

44454355054120 has 128 divisors (see below), whose sum is σ = 111316310121600. Its totient is φ = 15841105228800.

The previous prime is 44454355054093. The next prime is 44454355054141. The reversal of 44454355054120 is 2145055345444.

44454355054120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 4141387 + ... + 10298533.

It is an arithmetic number, because the mean of its divisors is an integer number (869658672825).

Almost surely, 244454355054120 is an apocalyptic number.

44454355054120 is a gapful number since it is divisible by the number (40) 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 44454355054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658155060800).

44454355054120 is an abundant number, since it is smaller than the sum of its proper divisors (66861955067480).

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

44454355054120 is a wasteful number, since it uses less digits than its factorization.

44454355054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157499 (or 6157495 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 44454355054120 in words is "forty-four trillion, four hundred fifty-four billion, three hundred fifty-five million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 269 305 440 488 538 610 671 1076 1220 1342 1345 2152 2440 2684 2690 2959 3355 5368 5380 5918 6710 10760 11836 13420 14795 16409 23672 26840 29590 32818 59180 65636 82045 118360 131272 164090 180499 328180 360998 656360 721996 902495 1443992 1804990 3609980 6157147 7219960 12314294 24628588 30785735 49257176 61571470 67728617 123142940 135457234 246285880 270914468 338643085 375585967 541828936 677286170 751171934 1354572340 1502343868 1656272543 1877929835 2709144680 3004687736 3312545086 3755859670 4131445637 6625090172 7511719340 8262891274 8281362715 13250180344 15023438680 16525782548 16562725430 18218997973 20657228185 33051565096 33125450860 36437995946 41314456370 66250901720 72875991892 82628912740 91094989865 101032625123 145751983784 165257825480 182189979730 202065250246 364379959460 404130500492 505163125615 728759918920 808261000984 1010326251230 1111358876353 2020652502460 2222717752706 4041305004920 4445435505412 5556794381765 8890871010824 11113588763530 22227177527060 44454355054120