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44147772295641 = 3272107229572
BaseRepresentation
bin10100000100110111101000…
…10010010000100111011001
312210022111010011021010020100
422002123310102100213121
521241304114201430031
6233521112343250013
712204366644614200
oct1202336422204731
9183274104233210
1044147772295641
1113080a68592603
124b50173749909
131b8316a260b91
14ac8a9939a237
155185b8e15de6
hex2826f44909d9

44147772295641 has 81 divisors (see below), whose sum is σ = 74905354737759. Its totient is φ = 24983077660128.

The previous prime is 44147772295633. The next prime is 44147772295657. The reversal of 44147772295641 is 14659227774144.

The square root of 44147772295641 is 6644379.

It is a perfect power (a square), and thus also a powerful number.

44147772295641 is a `hidden beast` number, since 4 + 4 + 1 + 47 + 7 + 7 + 2 + 29 + 564 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8207795255625 + 35939977040016 = 2864925^2 + 5994996^2 .

It is not a de Polignac number, because 44147772295641 - 23 = 44147772295633 is a prime.

It is a super-2 number, since 2×441477722956412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (44147772295691) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14929918135 + ... + 14929921091.

Almost surely, 244147772295641 is an apocalyptic number.

44147772295641 is the 6644379-th square number.

44147772295641 is the 3322190-th centered octagonal number.

It is an amenable number.

44147772295641 is a deficient number, since it is larger than the sum of its proper divisors (30757582442118).

44147772295641 is an frugal number, since it uses more digits than its factorization.

44147772295641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 3074 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 44147772295641 in words is "forty-four trillion, one hundred forty-seven billion, seven hundred seventy-two million, two hundred ninety-five thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 63 107 147 321 441 749 963 2247 2957 5243 6741 8871 11449 15729 20699 26613 34347 47187 62097 80143 103041 144893 186291 240429 316399 434679 561001 721287 949197 1304037 1683003 2214793 2847591 5049009 6644379 8743849 15503551 19933137 26231547 33854693 46510653 61206943 78694641 101564079 139531959 183620829 236982851 304692237 428448601 550862487 710948553 935591843 1285345803 1658879957 2132845659 2806775529 3856037409 4976639871 6549142901 8420326587 14929919613 19647428703 45844000307 58942286109 100108327201 137532000921 300324981603 412596002763 700758290407 900974944809 2102274871221 4905308032849 6306824613663 14715924098547 44147772295641