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42134722632 = 233217214232
BaseRepresentation
bin100111001111011011…
…001101100001001000
311000202102220200102200
4213033123031201020
51142242442111012
631204553200200
73021065142642
oct471733154110
9130672820380
1042134722632
1116961a52822
1281baa00060
133c86409b52
142079cd5892
15116910c3dc
hex9cf6cd848

42134722632 has 108 divisors (see below), whose sum is σ = 121307622345. Its totient is φ = 13209447168.

The previous prime is 42134722627. The next prime is 42134722657. The reversal of 42134722632 is 23622743124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42134722632 is a `hidden beast` number, since 4 + 2 + 13 + 4 + 7 + 2 + 2 + 632 = 666.

42134722632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38562747876 + 3571974756 = 196374^2 + 59766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145146.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29609073 + ... + 29610495.

Almost surely, 242134722632 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 42134722632

42134722632 is an abundant number, since it is smaller than the sum of its proper divisors (79172899713).

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

42134722632 is a wasteful number, since it uses less digits than its factorization.

42134722632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1445 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The spelling of 42134722632 in words is "forty-two billion, one hundred thirty-four million, seven hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1423 1734 2312 2601 2846 3468 4269 5202 5692 6936 8538 10404 11384 12807 17076 20808 24191 25614 34152 48382 51228 72573 96764 102456 145146 193528 217719 290292 411247 435438 580584 822494 870876 1233741 1644988 1741752 2024929 2467482 3289976 3701223 4049858 4934964 6074787 7402446 8099716 9869928 12149574 14804892 16199432 18224361 24299148 29609784 34423793 36448722 48598296 68847586 72897444 103271379 137695172 145794888 206542758 275390344 309814137 413085516 585204481 619628274 826171032 1170408962 1239256548 1755613443 2340817924 2478513096 3511226886 4681635848 5266840329 7022453772 10533680658 14044907544 21067361316 42134722632