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421342202243124 = 2232372273301146219
BaseRepresentation
bin101111111001101010110000…
…0010010110010100000110100
32001020211220212112001011011100
41133303111200102302200310
5420211232312233234444
64052041534025210100
7154514653361540421
oct13763254022624064
92036756775034140
10421342202243124
111122862518857a8
123b30ab37030930
1315114526016ac6
1476090ddcc0d48
1533aa126dd2e69
hex17f35604b2834

421342202243124 has 144 divisors (see below), whose sum is σ = 1094713207922880. Its totient is φ = 136543087134720.

The previous prime is 421342202243113. The next prime is 421342202243143.

421342202243124 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 422 + 0 + 224 + 3 + 1 + 2 + 4 = 666.

421342202243124 is nontrivially palindromic in base 10.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9116188887 + ... + 9116235105.

It is an arithmetic number, because the mean of its divisors is an integer number (7602175055020).

Almost surely, 2421342202243124 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 421342202243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547356603961440).

421342202243124 is an abundant number, since it is smaller than the sum of its proper divisors (673371005679756).

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

421342202243124 is a wasteful number, since it uses less digits than its factorization.

421342202243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51550 (or 51545 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42134220 and 2243124, that added together give a palindrome (44377344).

The spelling of 421342202243124 in words is "four hundred twenty-one trillion, three hundred forty-two billion, two hundred two million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2273 3011 4546 6022 6819 9033 9092 12044 13638 18066 20457 27099 27276 36132 40914 46219 54198 81828 84101 92438 108396 111407 138657 168202 184876 222814 252303 277314 334221 336404 415971 445628 504606 554628 668442 756909 831942 1002663 1009212 1336884 1513818 1663884 1710103 2005326 3027636 3420206 4010652 5130309 6840412 6844003 10260618 13688006 15390927 20521236 20532009 27376012 30781854 41064018 61563708 61596027 82128036 105055787 123192054 139165409 210111574 246384108 253228111 278330818 315167361 417496227 420223148 506456222 556661636 630334722 759684333 834992454 945502083 1012912444 1252488681 1260669444 1519368666 1669984908 1891004166 2279052999 2504977362 3038737332 3782008332 3887064119 4558105998 5009954724 5149120133 7774128238 9116211996 10298240266 11661192357 15447360399 15548256476 20596480532 23322384714 30894720798 34983577071 46342081197 46644769428 61789441596 69967154142 92684162394 139934308284 185368324788 316322974657 632645949314 948968923971 1265291898628 1897937847942 2846906771913 3795875695884 5693813543826 11387627087652 11703950062309 23407900124618 35111850186927 46815800249236 70223700373854 105335550560781 140447400747708 210671101121562 421342202243124