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42032214136 = 231143711011549
BaseRepresentation
bin100111001001010100…
…001011000001111000
311000111022000201012201
4213021110023001320
51142040221323021
631150452115544
73015411632233
oct471124130170
9130438021181
1042032214136
111690a0a8660
128190605bb4
133c6b0c8633
14206a45041a
15116010e591
hex9c950b078

42032214136 has 128 divisors (see below), whose sum is σ = 90154944000. Its totient is φ = 18204480000.

The previous prime is 42032214019. The next prime is 42032214137. The reversal of 42032214136 is 63141223024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032214137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27134290 + ... + 27135838.

It is an arithmetic number, because the mean of its divisors is an integer number (704335500).

Almost surely, 242032214136 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 42032214136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077472000).

42032214136 is an abundant number, since it is smaller than the sum of its proper divisors (48122729864).

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

42032214136 is a wasteful number, since it uses less digits than its factorization.

42032214136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 42032214136 in words is "forty-two billion, thirty-two million, two hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 43 44 71 86 88 101 142 172 202 284 344 404 473 568 781 808 946 1111 1549 1562 1892 2222 3053 3098 3124 3784 4343 4444 6106 6196 6248 7171 8686 8888 12212 12392 14342 17039 17372 24424 28684 33583 34078 34744 47773 57368 66607 67166 68156 78881 95546 109979 133214 134332 136312 156449 157762 191092 219958 266428 268664 308353 312898 315524 382184 439916 532856 616706 625796 631048 732677 879832 1209769 1233412 1251592 1465354 1720939 2419538 2466824 2930708 3391883 3441878 4729097 4839076 5861416 6727307 6783766 6883756 9458194 9678152 11107879 13454614 13567532 13767512 18916388 22215758 26909228 27135064 37832776 44431516 52020067 53818456 74000377 88863032 104040134 122186669 148000754 208080268 244373338 296001508 416160536 477638797 488746676 592003016 955277594 977493352 1910555188 3821110376 5254026767 10508053534 21016107068 42032214136