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115123322142 = 23417194746811
BaseRepresentation
bin110101100110111100…
…0100111110100011110
3102000011010211201010000
41223031320213310132
53341233032302032
6124515324155130
711213602043463
oct1531570476436
9360133751100
10115123322142
1144907128944
121a38a698aa6
13ab18a7687a
1458017c766a
152edbcade7c
hex1acde27d1e

115123322142 has 160 divisors (see below), whose sum is σ = 293634823680. Its totient is φ = 33487499520.

The previous prime is 115123322131. The next prime is 115123322147. The reversal of 115123322142 is 241223321511.

It is a happy number.

115123322142 is a `hidden beast` number, since 1 + 1 + 512 + 3 + 3 + 2 + 2 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115123322147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2435917 + ... + 2482727.

It is an arithmetic number, because the mean of its divisors is an integer number (1835217648).

Almost surely, 2115123322142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115123322142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146817411840).

115123322142 is an abundant number, since it is smaller than the sum of its proper divisors (178511501538).

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

115123322142 is a wasteful number, since it uses less digits than its factorization.

115123322142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46908 (or 46899 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 115123322142 its reverse (241223321511), we get a palindrome (356346643653).

The spelling of 115123322142 in words is "one hundred fifteen billion, one hundred twenty-three million, three hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 47 51 54 57 81 94 102 114 141 153 162 171 282 306 323 342 423 459 513 646 799 846 893 918 969 1026 1269 1377 1539 1598 1786 1938 2397 2538 2679 2754 2907 3078 3807 4794 5358 5814 7191 7614 8037 8721 14382 15181 16074 17442 21573 24111 26163 30362 43146 45543 46811 48222 52326 64719 72333 91086 93622 129438 136629 140433 144666 273258 280866 409887 421299 795787 819774 842598 889409 1229661 1263897 1591574 1778818 2200117 2387361 2459322 2527794 2668227 3791691 4400234 4774722 5336454 6600351 7162083 7583382 8004681 13200702 14324166 15119953 16009362 19801053 21486249 24014043 30239906 37401989 39602106 41802223 42972498 45359859 48028086 59403159 64458747 72042129 74803978 83604446 90719718 112205967 118806318 125406669 128917494 136079577 144084258 178209477 224411934 250813338 272159154 336617901 356418954 376220007 408238731 673235802 710637791 752440014 816477462 1009853703 1128660021 1224716193 1421275582 2019707406 2131913373 2257320042 2449432386 3029561109 3385980063 4263826746 6059122218 6395740119 6771960126 12791480238 19187220357 38374440714 57561661071 115123322142