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44054150640654 = 237114313397165527
BaseRepresentation
bin10100000010001001001111…
…11111111111010000001110
312202222112110111121021110010
422001010213333333100032
521233240400031000104
6233410110350254050
712164543630644560
oct1201044777772016
9182875414537403
1044054150640654
1113045295602520
124b35ba5ab7326
131b7739a018cab
14ac43374b3330
15515e39b4b489
hex281127fff40e

44054150640654 has 128 divisors (see below), whose sum is σ = 112413015171072. Its totient is φ = 11175626931840.

The previous prime is 44054150640653. The next prime is 44054150640667. The reversal of 44054150640654 is 45604605145044.

It is a super-3 number, since 3×440541506406543 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44054150640653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266062039 + ... + 266227565.

It is an arithmetic number, because the mean of its divisors is an integer number (878226681024).

Almost surely, 244054150640654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44054150640654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56206507585536).

44054150640654 is an abundant number, since it is smaller than the sum of its proper divisors (68358864530418).

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

44054150640654 is a wasteful number, since it uses less digits than its factorization.

44054150640654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178990.

The product of its (nonzero) digits is 4608000, while the sum is 48.

Adding to 44054150640654 its reverse (45604605145044), we get a palindrome (89658755785698).

The spelling of 44054150640654 in words is "forty-four trillion, fifty-four billion, one hundred fifty million, six hundred forty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 903 946 1419 1806 2838 3311 6622 9933 13397 19866 26794 40191 80382 93779 147367 165527 187558 281337 294734 331054 442101 496581 562674 576071 884202 993162 1031569 1152142 1158689 1728213 1820797 2063138 2317378 3094707 3456426 3476067 3641594 4032497 5462391 6189414 6336781 6952134 7117661 8064994 10924782 12097491 12673562 12745579 14235322 19010343 21352983 24194982 25491158 38020686 38236737 42705966 44357467 49823627 76473474 78294271 88714934 99647254 133072401 149470881 156588542 234882813 266144802 298941762 469765626 548059897 1096119794 1644179691 2217565219 3288359382 4435130438 6652695657 13305391314 15522956533 24393217409 31045913066 46568869599 48786434818 73179652227 93137739198 95355304417 146359304454 170752521863 190710608834 286065913251 341505043726 512257565589 572131826502 667487130919 1024515131178 1048908348587 1334974261838 2002461392757 2097816697174 3146725045761 4004922785514 6293450091522 7342358440109 14684716880218 22027075320327 44054150640654