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321414210300421 = 723296173107144479
BaseRepresentation
bin100100100010100110001001…
…1110101001010101000000101
31120011000220020221120221111201
41021011030103311022220011
5314112022300314103141
63055331352205102501
7124462260521645230
oct11105142365125005
91504026227527451
10321414210300421
119345a001510887
1230070288857a31
1310a462cb3540b4
14595276067a417
152725ac4179031
hex1245313d4aa05

321414210300421 has 128 divisors (see below), whose sum is σ = 412360807219200. Its totient is φ = 244525015848960.

The previous prime is 321414210300419. The next prime is 321414210300511. The reversal of 321414210300421 is 124003012414123.

It is a happy number.

It is not a de Polignac number, because 321414210300421 - 21 = 321414210300419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 321414210300421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321414210300221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2224570860 + ... + 2224715338.

It is an arithmetic number, because the mean of its divisors is an integer number (3221568806400).

Almost surely, 2321414210300421 is an apocalyptic number.

It is an amenable number.

321414210300421 is a deficient number, since it is larger than the sum of its proper divisors (90946596918779).

321414210300421 is a wasteful number, since it uses less digits than its factorization.

321414210300421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144779.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321414210300421 its reverse (124003012414123), we get a palindrome (445417222714544).

The spelling of 321414210300421 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred ten million, three hundred thousand, four hundred twenty-one".

Divisors: 1 7 23 29 61 73 107 161 203 427 511 667 749 1403 1679 1769 2117 2461 3103 4453 4669 6527 7811 9821 11753 12383 14819 17227 21721 31171 40687 45689 48691 54677 71369 102419 129137 144479 150121 179653 189283 226519 284809 340837 476471 499583 716933 903959 1011353 1050847 1257571 1324981 1585633 2970151 3323017 3335297 4189891 4353509 5209937 8813219 10546967 10958833 13817659 15459253 20791057 23261119 29329237 30474563 36469559 61692533 73828769 76711831 96367493 96723613 108214771 202704037 242580241 255583351 305862043 317806157 355562819 448318337 643364987 674572451 943014433 1128525469 1418928259 1698061687 1789083457 2141034301 2224643099 2488939733 3138228359 4503554909 5878417073 6601101031 7034826989 7899678283 10311321751 14797394701 18657584623 21689331959 25956085787 27347418557 32727238601 41148919511 49243788923 68840053609 72179252257 103581762907 130603092361 151825323713 181692600509 191431929899 229090670207 429124446329 481880375263 628990626811 752726487823 1583321233007 1996361554661 3003871124303 4402934387677 5269085414761 11083248631049 13974530882627 45916315757203 321414210300421