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4450530655044 = 22322343511924419
BaseRepresentation
bin100000011000011100001…
…0011000111101101000100
3120202110121010121022102100
41000300320103013231010
51040404141321430134
613244313501312100
7636353204251125
oct100607023075504
916673533538370
104450530655044
111466506591001
125ba661865630
132638b6102a56
1411559a4c804c
157ab7db19999
hex40c384c7b44

4450530655044 has 144 divisors (see below), whose sum is σ = 12014921318400. Its totient is φ = 1385682040512.

The previous prime is 4450530655007. The next prime is 4450530655049. The reversal of 4450530655044 is 4405560350544.

4450530655044 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 53 + 0 + 6 + 550 + 44 = 666.

It is a super-2 number, since 2×44505306550442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4450530655049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182244667 + ... + 182269085.

It is an arithmetic number, because the mean of its divisors is an integer number (83436953600).

Almost surely, 24450530655044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450530655044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007460659200).

4450530655044 is an abundant number, since it is smaller than the sum of its proper divisors (7564390663356).

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

4450530655044 is a wasteful number, since it uses less digits than its factorization.

4450530655044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614 (or 29609 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 4450530655044 in words is "four trillion, four hundred fifty billion, five hundred thirty million, six hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5119 5934 8901 10238 11868 15357 17802 20476 24419 30714 35604 46071 48838 61428 73257 92142 97676 117737 146514 184284 219771 220117 235474 293028 353211 439542 440234 470948 561637 660351 706422 879084 880468 1050017 1059633 1123274 1320702 1412844 1684911 1981053 2100034 2119266 2246548 2641404 3150051 3369822 3962106 4200068 4238532 5054733 5062691 6300102 6739644 7924212 9450153 10109466 10125382 12600204 15188073 18900306 20218932 20250764 24150391 30376146 37800612 45564219 48300782 60752292 72451173 91128438 96601564 125000861 144902346 182256876 217353519 250001722 289804692 375002583 434707038 500003444 750005166 869414076 1125007749 1500010332 2250015498 2875019803 4500030996 5375037023 5750039606 8625059409 10750074046 11500079212 16125111069 17250118818 21500148092 25875178227 32250222138 34500237636 48375333207 51750356454 64500444276 96750666414 103500712908 123625851529 193501332828 247251703058 370877554587 494503406116 741755109174 1112632663761 1483510218348 2225265327522 4450530655044