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42112132314 = 2377989142607
BaseRepresentation
bin100111001110000101…
…000010010011011010
311000200212101222100020
4213032011002103122
51142221201213224
631202425051310
73020402134650
oct471605022332
9130625358306
1042112132314
111695022333a
1281b3326b36
133c8182a6b5
142076cd4dd0
151167148c79
hex9ce1424da

42112132314 has 64 divisors (see below), whose sum is σ = 98570649600. Its totient is φ = 11746171008.

The previous prime is 42112132303. The next prime is 42112132327. The reversal of 42112132314 is 41323121124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223999 + ... + 366605.

It is an arithmetic number, because the mean of its divisors is an integer number (1540166400).

Almost surely, 242112132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49285324800).

42112132314 is an abundant number, since it is smaller than the sum of its proper divisors (56458517286).

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

42112132314 is a wasteful number, since it uses less digits than its factorization.

42112132314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142787.

The product of its digits is 1152, while the sum is 24.

Adding to 42112132314 its reverse (41323121124), we get a palindrome (83435253438).

The spelling of 42112132314 in words is "forty-two billion, one hundred twelve million, one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 79 89 158 178 237 267 474 534 553 623 1106 1246 1659 1869 3318 3738 7031 14062 21093 42186 49217 98434 142607 147651 285214 295302 427821 855642 998249 1996498 2994747 5989494 11265953 12692023 22531906 25384046 33797859 38076069 67595718 76152138 78861671 88844161 157723342 177688322 236585013 266532483 473170026 533064966 1002669817 2005339634 3008009451 6016018902 7018688719 14037377438 21056066157 42112132314