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420223121322024 = 23337479987942037
BaseRepresentation
bin101111110001100001101000…
…1110111110111000000101000
32001002212221022211212011102010
41133203003101313313000220
5420034413423024301044
64045423500433235520
7154341055454626326
oct13743032167670050
92032787284764363
10420223121322024
11111994696879329
123b16a081102ba0
1315062b410aa697
1475aac9c616d16
15338ae7b210bb9
hex17e30d1df7028

420223121322024 has 64 divisors (see below), whose sum is σ = 1081203766387200. Its totient is φ = 136004052443904.

The previous prime is 420223121321951. The next prime is 420223121322041.

420223121322024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420223121321982 and 420223121322000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493545667 + ... + 494396370.

It is an arithmetic number, because the mean of its divisors is an integer number (16893808849800).

Almost surely, 2420223121322024 is an apocalyptic number.

It is an amenable number.

420223121322024 is an abundant number, since it is smaller than the sum of its proper divisors (660980645065176).

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

420223121322024 is a wasteful number, since it uses less digits than its factorization.

420223121322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987942562 (or 987942558 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 420223121322024 in words is "four hundred twenty trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 479 888 958 1437 1916 2874 3832 5748 11496 17723 35446 53169 70892 106338 141784 212676 425352 987942037 1975884074 2963826111 3951768148 5927652222 7903536296 11855304444 23710608888 36553855369 73107710738 109661566107 146215421476 219323132214 292430842952 438646264428 473224235723 877292528856 946448471446 1419672707169 1892896942892 2839345414338 3785793885784 5678690828676 11357381657352 17509296721751 35018593443502 52527890165253 70037186887004 105055780330506 140074373774008 210111560661012 420223121322024