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42232033134 = 232191796771019
BaseRepresentation
bin100111010101001110…
…011010111101101110
311001000020000120100100
4213111032122331232
51142442400030014
631222351011530
73023356234014
oct472516327556
9131006016310
1042232033134
1116a01977625
128227509ba6
133ca061b425
142088bc68b4
151172930009
hex9d539af6e

42232033134 has 96 divisors (see below), whose sum is σ = 97095024000. Its totient is φ = 13229341632.

The previous prime is 42232033127. The next prime is 42232033141. The reversal of 42232033134 is 43133023224.

42232033134 is a `hidden beast` number, since 4 + 2 + 2 + 320 + 331 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42232033127) and next prime (42232033141).

It is a junction number, because it is equal to n+sod(n) for n = 42232033098 and 42232033107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41444077 + ... + 41445095.

It is an arithmetic number, because the mean of its divisors is an integer number (1011406500).

Almost surely, 242232033134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232033134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547512000).

42232033134 is an abundant number, since it is smaller than the sum of its proper divisors (54862990866).

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

42232033134 is a wasteful number, since it uses less digits than its factorization.

42232033134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42232033134 its reverse (43133023224), we get a palindrome (85365056358).

The spelling of 42232033134 in words is "forty-two billion, two hundred thirty-two million, thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 179 342 358 537 677 1019 1074 1354 1611 2031 2038 3057 3222 3401 4062 6093 6114 6802 9171 10203 12186 12863 18342 19361 20406 25726 30609 38589 38722 58083 61218 77178 115767 116166 121183 174249 182401 231534 242366 348498 363549 364802 547203 689863 727098 1090647 1094406 1379726 1641609 2069589 2181294 2302477 3283218 3465619 4139178 4604954 6208767 6907431 6931238 10396857 12417534 13107397 13814862 20722293 20793714 26214794 31190571 39322191 41444586 62381142 78644382 117966573 123485477 235933146 246970954 370456431 740912862 1111369293 2222738586 2346224063 4692448126 7038672189 14077344378 21116016567 42232033134