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44145544512 = 2631759229237
BaseRepresentation
bin101001000111010001…
…111000110101000000
311012221120122000111010
4221013101320311000
51210402224411022
632140304120520
73121652636256
oct510721706500
9135846560433
1044145544512
11177a4010a93
128680306140
134216ba2b94
1421cadaa5d6
15123590b50c
hexa47478d40

44145544512 has 112 divisors (see below), whose sum is σ = 125769136320. Its totient is φ = 13614784512.

The previous prime is 44145544507. The next prime is 44145544517. The reversal of 44145544512 is 21544554144.

It is an interprime number because it is at equal distance from previous prime (44145544507) and next prime (44145544517).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145544517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77958 + ... + 307194.

Almost surely, 244145544512 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 44145544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62884568160).

44145544512 is an abundant number, since it is smaller than the sum of its proper divisors (81623591808).

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

44145544512 is a wasteful number, since it uses less digits than its factorization.

44145544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229328 (or 229318 counting only the distinct ones).

The product of its digits is 256000, while the sum is 39.

The spelling of 44145544512 in words is "forty-four billion, one hundred forty-five million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 136 177 192 204 236 272 354 408 472 544 708 816 944 1003 1088 1416 1632 1888 2006 2832 3009 3264 3776 4012 5664 6018 8024 11328 12036 16048 24072 32096 48144 64192 96288 192576 229237 458474 687711 916948 1375422 1833896 2750844 3667792 3897029 5501688 7335584 7794058 11003376 11691087 13524983 14671168 15588116 22006752 23382174 27049966 31176232 40574949 44013504 46764348 54099932 62352464 81149898 93528696 108199864 124704928 162299796 187057392 216399728 229924711 249409856 324599592 374114784 432799456 459849422 649199184 689774133 748229568 865598912 919698844 1298398368 1379548266 1839397688 2596796736 2759096532 3678795376 5518193064 7357590752 11036386128 14715181504 22072772256 44145544512