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413122142441024 = 2629317180237459
BaseRepresentation
bin101110111101110110111111…
…0100011001000111001000000
32000011202002110102022112111022
41131323231332203020321000
5413122043121431103044
64022345405304005012
7153006042545216132
oct13573557643107100
92004662412275438
10413122142441024
1110a6a7131377125
123a401a09760768
131496933521acc3
14740330b34d052
1532b63c58b83ee
hex177bb7e8c8e40

413122142441024 has 56 divisors (see below), whose sum is σ = 875414551123200. Its totient is φ = 193004782871040.

The previous prime is 413122142441017. The next prime is 413122142441069. The reversal of 413122142441024 is 420144241221314.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3590061194 + ... + 3590176265.

Almost surely, 2413122142441024 is an apocalyptic number.

It is an amenable number.

413122142441024 is an abundant number, since it is smaller than the sum of its proper divisors (462292408682176).

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

413122142441024 is a wasteful number, since it uses less digits than its factorization.

413122142441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180237531 (or 7180237521 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 413122142441024 its reverse (420144241221314), we get a palindrome (833266383662338).

The spelling of 413122142441024 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1798 1856 1984 3596 7192 14384 28768 57536 7180237459 14360474918 28720949836 57441899672 114883799344 208226886311 222587361229 229767598688 416453772622 445174722458 459535197376 832907545244 890349444916 1665815090488 1780698889832 3331630180976 3561397779664 6455033475641 6663260361952 7122795559328 12910066951282 13326520723904 14245591118656 25820133902564 51640267805128 103280535610256 206561071220512 413122142441024