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44755434604242 = 2342319996008833
BaseRepresentation
bin10100010110100011011111…
…10010000000011011010010
312212110120121012002210010000
422023101233302000123102
521331233112224313432
6235104210211350430
712266321251201305
oct1213215762003322
9185416535083100
1044755434604242
1113295745075a4a
125029aa05b2416
131bc855b4978ab
14b0a263122b3c
155292d17c757c
hex28b46fc806d2

44755434604242 has 80 divisors (see below), whose sum is σ = 104697923616000. Its totient is φ = 14262707847168.

The previous prime is 44755434604183. The next prime is 44755434604259. The reversal of 44755434604242 is 24240643455744.

44755434604242 is a `hidden beast` number, since 4 + 4 + 7 + 5 + 5 + 4 + 3 + 4 + 604 + 24 + 2 = 666.

It is a super-2 number, since 2×447554346042422 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4443858 + ... + 10452690.

It is an arithmetic number, because the mean of its divisors is an integer number (1308724045200).

Almost surely, 244755434604242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44755434604242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348961808000).

44755434604242 is an abundant number, since it is smaller than the sum of its proper divisors (59942489011758).

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

44755434604242 is a wasteful number, since it uses less digits than its factorization.

44755434604242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010869 (or 6010860 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 44755434604242 in words is "forty-four trillion, seven hundred fifty-five billion, four hundred thirty-four million, six hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 1999 3726 3998 5997 11994 17991 35982 45977 53973 91954 107946 137931 161919 275862 323838 413793 827586 1241379 2482758 3724137 6008833 7448274 12017666 18026499 36052998 54079497 108158994 138203159 162238491 276406318 324476982 414609477 486715473 829218954 973430946 1243828431 2487656862 3731485293 7462970586 11194455879 12011657167 22388911758 24023314334 36034971501 72069943002 108104914503 216209829006 276268114841 324314743509 552536229682 648629487018 828804344523 972944230527 1657608689046 1945888461054 2486413033569 4972826067138 7459239100707 14918478201414 22377717302121 44755434604242