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313514422455344 = 241169171325919423
BaseRepresentation
bin100011101001000111100001…
…1110010000100110000110000
31112010001200112011001110201212
41013102033003302010300300
5312043110014122032334
63030442312023215252
7123015445440124655
oct10722170362046060
91463050464043655
10313514422455344
11909937a11988a0
122b1b52418a7528
13105c238b1c1336
14575c2712c5c2c
15263a369da8ece
hex11d23c3c84c30

313514422455344 has 80 divisors (see below), whose sum is σ = 662835394391040. Its totient is φ = 142467871553280.

The previous prime is 313514422455317. The next prime is 313514422455383. The reversal of 313514422455344 is 443554224415313.

It is a happy number.

It is a super-2 number, since 2×3135144224553442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313514422455292 and 313514422455301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16141390817 + ... + 16141410239.

It is an arithmetic number, because the mean of its divisors is an integer number (8285442429888).

Almost surely, 2313514422455344 is an apocalyptic number.

It is an amenable number.

313514422455344 is an abundant number, since it is smaller than the sum of its proper divisors (349320971935696).

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

313514422455344 is a wasteful number, since it uses less digits than its factorization.

313514422455344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39618 (or 39612 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 50.

The spelling of 313514422455344 in words is "three hundred thirteen trillion, five hundred fourteen billion, four hundred twenty-two million, four hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 6917 13259 13834 19423 26518 27668 38846 53036 55336 76087 77692 106072 110672 145849 152174 155384 212144 213653 291698 304348 310768 427306 583396 608696 854612 1166792 1217392 1709224 2333584 3418448 91712503 134348891 183425006 257529557 268697782 366850012 515059114 537395564 733700024 1008837533 1030118228 1074791128 1467400048 1477837801 2017675066 2060236456 2149582256 2832825127 2955675602 4035350132 4120472912 5665650254 5911351204 8070700264 11331300508 11822702408 16141400528 22662601016 23645404816 45325202032 1781331945769 3562663891538 7125327783076 14250655566152 19594651403459 28501311132304 39189302806918 78378605613836 156757211227672 313514422455344