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312413120134304 = 2574771417950683
BaseRepresentation
bin100011100001000110101100…
…1000011000111110010100000
31111222011101212111102221101112
41013002031121003013302200
5311422034032223244204
63024240334524322452
7122543050232632040
oct10702153103076240
91458141774387345
10312413120134304
11905a97297a4822
122b0579099a3428
131054257a6777c7
145720c38c95720
15261b8aee0a26e
hex11c23590c7ca0

312413120134304 has 96 divisors (see below), whose sum is σ = 727996532207616. Its totient is φ = 129196914819840.

The previous prime is 312413120134301. The next prime is 312413120134321. The reversal of 312413120134304 is 403431021314213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (312413120134301) 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, 208227854 + ... + 209722829.

It is an arithmetic number, because the mean of its divisors is an integer number (7583297210496).

Almost surely, 2312413120134304 is an apocalyptic number.

It is an amenable number.

312413120134304 is an abundant number, since it is smaller than the sum of its proper divisors (415583412073312).

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

312413120134304 is a wasteful number, since it uses less digits than its factorization.

312413120134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417950818 (or 417950810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 312413120134304 its reverse (403431021314213), we get a palindrome (715844141448517).

The spelling of 312413120134304 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred twenty million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 71 94 112 142 188 224 284 329 376 497 568 658 752 994 1136 1316 1504 1988 2272 2632 3337 3976 5264 6674 7952 10528 13348 15904 23359 26696 46718 53392 93436 106784 186872 373744 747488 417950683 835901366 1671802732 2925654781 3343605464 5851309562 6687210928 11702619124 13374421856 19643682101 23405238248 29674498493 39287364202 46810476496 59348996986 78574728404 93620952992 118697993972 137505774707 157149456808 207721489451 237395987944 275011549414 314298913616 415442978902 474791975888 550023098828 628597827232 830885957804 949583951776 1100046197656 1394701429171 1661771915608 2200092395312 2789402858342 3323543831216 4400184790624 5578805716684 6647087662432 9762910004197 11157611433368 19525820008394 22315222866736 39051640016788 44630445733472 78103280033576 156206560067152 312413120134304