Search a number
-
+
420410232024016 = 241367166571811083
BaseRepresentation
bin101111110010111000110001…
…0100010100010101111010000
32001010112211021220122200000211
41133211301202202202233100
5420101000123344232031
64050045443325053504
7154360431315433123
oct13745614242425720
92033484256580024
10420410232024016
11111a56a839a6123
123b19a3a00b7294
131507768cc478b0
1475b5d6c9483ba
153390c7ccedbb1
hex17e5c628a2bd0

420410232024016 has 80 divisors (see below), whose sum is σ = 890348627971264. Its totient is φ = 191127859034112.

The previous prime is 420410232023953. The next prime is 420410232024017. The reversal of 420410232024016 is 610420232014024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420410232024017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231226411 + ... + 233037493.

Almost surely, 2420410232024016 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 420410232024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445174313985632).

420410232024016 is an abundant number, since it is smaller than the sum of its proper divisors (469938395947248).

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

420410232024016 is a wasteful number, since it uses less digits than its factorization.

420410232024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827828 (or 1827822 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 420410232024016 in words is "four hundred twenty trillion, four hundred ten billion, two hundred thirty-two million, twenty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1742 3484 6968 13936 16657 33314 66628 133256 216541 266512 433082 866164 1116019 1732328 1811083 2232038 3464656 3622166 4464076 7244332 8928152 14488664 14508247 17856304 23544079 28977328 29016494 47088158 58032988 94176316 116065976 121342561 188352632 232131952 242685122 376705264 485370244 970740488 1577453293 1941480976 3154906586 6309813172 12619626344 25239252688 30167209531 60334419062 120668838124 241337676248 392173723903 482675352496 784347447806 1568694895612 2021203038577 3137389791224 4042406077154 6274779582448 8084812154308 16169624308616 26275639501501 32339248617232 52551279003002 105102558006004 210205116012008 420410232024016