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314221413402 = 2331310316272671
BaseRepresentation
bin1001001001010010000…
…11100100010000011010
31010001001122000200102000
410210221003210100122
520122011140212102
6400203515221430
731462461642111
oct4445103442032
91101048020360
10314221413402
11111295883716
1250a94147876
1323828281620
14112cbbb2c78
158290e7b01c
hex49290e441a

314221413402 has 128 divisors (see below), whose sum is σ = 760034795520. Its totient is φ = 95650165440.

The previous prime is 314221413349. The next prime is 314221413419. The reversal of 314221413402 is 204314122413.

314221413402 is a `hidden beast` number, since 3 + 1 + 42 + 214 + 1 + 3 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117640527 + ... + 117643197.

It is an arithmetic number, because the mean of its divisors is an integer number (5937771840).

Almost surely, 2314221413402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314221413402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380017397760).

314221413402 is an abundant number, since it is smaller than the sum of its proper divisors (445813382118).

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

314221413402 is a wasteful number, since it uses less digits than its factorization.

314221413402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314221413402 its reverse (204314122413), we get a palindrome (518535535815).

The spelling of 314221413402 in words is "three hundred fourteen billion, two hundred twenty-one million, four hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 103 117 206 234 309 351 618 702 927 1339 1627 1854 2671 2678 2781 3254 4017 4881 5342 5562 8013 8034 9762 12051 14643 16026 21151 24039 24102 29286 34723 36153 42302 43929 48078 63453 69446 72117 72306 87858 104169 126906 144234 167581 190359 208338 275113 312507 335162 380718 502743 550226 571077 625014 825339 937521 1005486 1142154 1508229 1650678 1875042 2178553 2476017 3016458 3576469 4345717 4357106 4524687 4952034 6535659 7152938 7428051 8691434 9049374 10729407 13037151 13071318 14856102 19606977 21458814 26074302 32188221 39111453 39213954 56494321 58820931 64376442 78222906 96564663 112988642 117334359 117641862 169482963 193129326 234668718 338965926 447608851 508448889 895217702 1016897778 1342826553 1525346667 2685653106 3050693334 4028479659 5818915063 8056959318 11637830126 12085438977 17456745189 24170877954 34913490378 52370235567 104740471134 157110706701 314221413402