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321414302432412 = 223277956951283489
BaseRepresentation
bin100100100010100110001100…
…1010100100111110010011100
31120011000220111100221201211200
41021011030121110213302130
5314112022442410314122
63055331405255515500
7124462263021030510
oct11105143124476234
91504026440851750
10321414302432412
119345a049518a22
12300702b3688b90
1310a46314471577
14595276c9c0140
152725acc2c75ac
hex1245319527c9c

321414302432412 has 144 divisors (see below), whose sum is σ = 940303581235200. Its totient is φ = 90668307225600.

The previous prime is 321414302432389. The next prime is 321414302432471. The reversal of 321414302432412 is 214234203414123.

321414302432412 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 14 + 302 + 4 + 324 + 12 = 666.

It is a super-2 number, since 2×3214143024324122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133638764 + ... + 1133922252.

It is an arithmetic number, because the mean of its divisors is an integer number (6529885980800).

Almost surely, 2321414302432412 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 321414302432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470151790617600).

321414302432412 is an abundant number, since it is smaller than the sum of its proper divisors (618889278802788).

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

321414302432412 is a wasteful number, since it uses less digits than its factorization.

321414302432412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340536 (or 340531 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 321414302432412 its reverse (214234203414123), we get a palindrome (535648505846535).

The spelling of 321414302432412 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred two million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 56951 113902 170853 227804 283489 341706 398657 512559 566978 683412 797314 850467 1025118 1133956 1195971 1594628 1700934 1984423 2050236 2391942 2551401 3401868 3587913 3968846 4499129 4783884 5102802 5953269 7175826 7937692 8998258 10205604 11906538 13497387 14351652 17859807 17996516 22395631 23813076 26994774 31493903 35719614 40492161 44791262 53989548 62987806 67186893 71439228 80984322 89582524 94481709 125975612 134373786 156769417 161968644 188963418 201560679 268747572 283445127 313538834 377926836 403121358 470308251 566890254 627077668 806242716 940616502 1133780508 1410924753 1881233004 2821849506 5643699012 16144982039 32289964078 48434946117 64579928156 96869892234 113014874273 145304838351 193739784468 226029748546 290609676702 339044622819 452059497092 581219353404 678089245638 1017133868457 1275453581081 1356178491276 2034267736914 2550907162162 3826360743243 4068535473828 5101814324324 7652721486486 8928175067567 11479082229729 15305442972972 17856350135134 22958164459458 26784525202701 35712700270268 45916328918916 53569050405402 80353575608103 107138100810804 160707151216206 321414302432412