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44150644605144 = 23371158661407273
BaseRepresentation
bin10100000100111100111110…
…11111010000000011011000
312210022202112100000120010210
422002132133133100003120
521241331010004331034
6233522305351011120
712204531063055320
oct1202363737200330
9183282470016123
1044150644605144
1113082201969210
124b50835669aa0
131b83507357bbc
14ac8c8ca44280
155186d61858e9
hex28279f7d00d8

44150644605144 has 128 divisors (see below), whose sum is σ = 137615082554880. Its totient is φ = 11467476249600.

The previous prime is 44150644605127. The next prime is 44150644605167.

44150644605144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44150644605093 and 44150644605102.

It is a congruent number.

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, 108201892 + ... + 108609164.

It is an arithmetic number, because the mean of its divisors is an integer number (1075117832460).

Almost surely, 244150644605144 is an apocalyptic number.

44150644605144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44150644605144 is an abundant number, since it is smaller than the sum of its proper divisors (93464437949736).

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

44150644605144 is a wasteful number, since it uses less digits than its factorization.

44150644605144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465961 (or 465957 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 44150644605144 in words is "forty-four trillion, one hundred fifty billion, six hundred forty-four million, six hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 58661 117322 175983 234644 351966 407273 410627 469288 645271 703932 814546 821254 1221819 1231881 1290542 1407864 1629092 1642508 1935813 2443638 2463762 2581084 2850911 3258184 3285016 3871626 4480003 4516897 4887276 4927524 5162168 5701822 7743252 8552733 8960006 9033794 9774552 9855048 11403644 13440009 13550691 15486504 17105466 17920012 18067588 22807288 26880018 27101382 31360021 34210932 35840024 36135176 53760036 54202764 62720042 68421864 94080063 107520072 108405528 125440084 188160126 250880168 376320252 752640504 23891041453 47782082906 71673124359 95564165812 143346248718 167237290171 191128331624 262801455983 286692497436 334474580342 501711870513 525602911966 573384994872 668949160684 788404367949 1003423741026 1051205823932 1337898321368 1576808735898 1839610191881 2006847482052 2102411647864 3153617471796 3679220383762 4013694964104 5518830575643 6307234943592 7358440767524 11037661151286 14716881535048 22075322302572 44150644605144