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244130330100096 = 27321119265335393
BaseRepresentation
bin110111100000100100000101…
…100110101100000110000000
31012000101122001110022211122100
4313200210011212230012000
5223444312404001200341
62223115531514110400
7102264556110064656
oct6740440546540600
91160348043284570
10244130330100096
1170873100971210
122346a11571b400
13a62b511a3309b
14443dd846b4dd6
151d355cba823b6
hexde09059ac180

244130330100096 has 96 divisors (see below), whose sum is σ = 766375041973320. Its totient is φ = 73978887905280.

The previous prime is 244130330100001. The next prime is 244130330100119. The reversal of 244130330100096 is 690001033031442.

244130330100096 is a `hidden beast` number, since 2 + 4 + 4 + 130 + 330 + 100 + 0 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 244130330100096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9632655025 + ... + 9632680368.

Almost surely, 2244130330100096 is an apocalyptic number.

It is an amenable number.

244130330100096 is an abundant number, since it is smaller than the sum of its proper divisors (522244711873224).

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

244130330100096 is a wasteful number, since it uses less digits than its factorization.

244130330100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19265335424 (or 19265335409 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 244130330100096 in words is "two hundred forty-four trillion, one hundred thirty billion, three hundred thirty million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 19265335393 38530670786 57796006179 77061341572 115592012358 154122683144 173388018537 211918689323 231184024716 308245366288 346776037074 423837378646 462368049432 616490732576 635756067969 693552074148 847674757292 924736098864 1232981465152 1271512135938 1387104148296 1695349514584 1849472197728 1907268203907 2465962930304 2543024271876 2774208296592 3390699029168 3698944395456 3814536407814 5086048543752 5548416593184 6781398058336 7397888790912 7629072815628 10172097087504 11096833186368 13562796116672 15258145631256 20344194175008 22193666372736 27125592233344 30516291262512 40688388350016 61032582525024 81376776700032 122065165050048 244130330100096