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44055345406914 = 23240970126213257
BaseRepresentation
bin10100000010001011011110…
…01101101010001111000010
312202222122112202202200122100
422001011233031222033002
521233300321411010124
6233410425110251230
712164615346204252
oct1201055715521702
9182878482680570
1044055345406914
1113045848a64056
124b3627a056b16
131b7752a6ca18a
14ac440c03d962
15515ea99a11c9
hex28116f36a3c2

44055345406914 has 96 divisors (see below), whose sum is σ = 95889122250480. Its totient is φ = 14618241792000.

The previous prime is 44055345406837. The next prime is 44055345406957. The reversal of 44055345406914 is 41960454355044.

44055345406914 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 5 + 3 + 4 + 540 + 6 + 91 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43998241135689 + 57104271225 = 6633117^2 + 238965^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13526355574 + ... + 13526358830.

Almost surely, 244055345406914 is an apocalyptic number.

44055345406914 is an abundant number, since it is smaller than the sum of its proper divisors (51833776843566).

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

44055345406914 is a wasteful number, since it uses less digits than its factorization.

44055345406914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 44055345406914 in words is "forty-four trillion, fifty-five billion, three hundred forty-five million, four hundred six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 409 701 818 1227 1402 2103 2454 2621 3257 3681 4206 5242 6309 6514 7362 7863 9771 12618 15726 19542 23589 29313 47178 58626 286709 573418 860127 1071989 1332113 1720254 1837321 2143978 2283157 2580381 2664226 3215967 3674642 3996339 4566314 5160762 5511963 6431934 6849471 7992678 8536597 9647901 11023926 11989017 13698942 16535889 17073194 19295802 20548413 23978034 25609791 33071778 41096826 51219582 76829373 153658746 751464289 933811213 1502928578 1867622426 2254392867 2801433639 3491468173 4508785734 5602867278 5984154497 6763178601 6982936346 8404300917 10474404519 11968308994 13526357202 16808601834 17952463491 20948809038 31423213557 35904926982 53857390473 62846427114 107714780946 2447519189273 4895038378546 7342557567819 14685115135638 22027672703457 44055345406914