Search a number
-
+
21337071144 = 2331725358043
BaseRepresentation
bin10011110111110010…
…011101111000101000
32001002000110112001020
4103313302131320220
5322144242234034
613445131252440
71353516053334
oct236762357050
961060415036
1021337071144
11905a2473a4
1241758aa120
1320206c22ac
141065ad67c4
1584d330249
hex4f7c9de28

21337071144 has 96 divisors (see below), whose sum is σ = 57735205920. Its totient is φ = 6567568384.

The previous prime is 21337071143. The next prime is 21337071149. The reversal of 21337071144 is 44117073312.

It is not an unprimeable number, because it can be changed into a prime (21337071143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338587 + ... + 396629.

It is an arithmetic number, because the mean of its divisors is an integer number (601408395).

Almost surely, 221337071144 is an apocalyptic number.

21337071144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21337071144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28867602960).

21337071144 is an abundant number, since it is smaller than the sum of its proper divisors (36398134776).

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

21337071144 is a wasteful number, since it uses less digits than its factorization.

21337071144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58139 (or 58118 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 21337071144 in words is "twenty-one billion, three hundred thirty-seven million, seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 289 318 408 424 578 636 867 901 1156 1272 1734 1802 2312 2703 3468 3604 5406 6936 7208 10812 15317 21624 30634 45951 58043 61268 91902 116086 122536 174129 183804 232172 348258 367608 464344 696516 986731 1393032 1973462 2960193 3076279 3946924 5920386 6152558 7893848 9228837 11840772 12305116 16774427 18457674 23681544 24610232 33548854 36915348 50323281 52296743 67097708 73830696 100646562 104593486 134195416 156890229 201293124 209186972 313780458 402586248 418373944 627560916 889044631 1255121832 1778089262 2667133893 3556178524 5334267786 7112357048 10668535572 21337071144