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21442342032 = 243441403537
BaseRepresentation
bin10011111110000100…
…000010110010010000
32001100100112211120000
4103332010002302100
5322403214421112
613503411450000
71356234620466
oct237604026220
961310484500
1021442342032
119103708a31
1241a4bb6900
13203945cc67
141075a9a836
158576c67dc
hex4fe102c90

21442342032 has 100 divisors (see below), whose sum is σ = 63574183596. Its totient is φ = 6973102080.

The previous prime is 21442342003. The next prime is 21442342037. The reversal of 21442342032 is 23024324412.

21442342032 is a `hidden beast` number, since 214 + 4 + 23 + 420 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9059993856 + 12382348176 = 95184^2 + 111276^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21442341987 and 21442342005.

It is not an unprimeable number, because it can be changed into a prime (21442342037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148633 + ... + 254904.

Almost surely, 221442342032 is an apocalyptic number.

It is an amenable number.

21442342032 is an abundant number, since it is smaller than the sum of its proper divisors (42131841564).

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

21442342032 is a wasteful number, since it uses less digits than its factorization.

21442342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403598 (or 403583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21442342032 its reverse (23024324412), we get a palindrome (44466666444).

The spelling of 21442342032 in words is "twenty-one billion, four hundred forty-two million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26568 53136 403537 807074 1210611 1614148 2421222 3228296 3631833 4842444 6456592 7263666 9684888 10895499 14527332 16545017 19369776 21790998 29054664 32686497 33090034 43581996 49635051 58109328 65372994 66180068 87163992 99270102 130745988 132360136 148905153 174327984 198540204 261491976 264720272 297810306 397080408 446715459 522983952 595620612 794160816 893430918 1191241224 1340146377 1786861836 2382482448 2680292754 3573723672 5360585508 7147447344 10721171016 21442342032