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114974347960 = 23553383141601
BaseRepresentation
bin110101100010100000…
…0010101001010111000
3101222202202112000221201
41223011000111022320
53340431413113320
6124452443143544
711210112555433
oct1530500251270
9358682460851
10114974347960
114484002738a
121a348814bb4
13aac3c46874
1457c9ac881a
152ecdb8370a
hex1ac50152b8

114974347960 has 64 divisors (see below), whose sum is σ = 264263316480. Its totient is φ = 45003878400.

The previous prime is 114974347937. The next prime is 114974347979. The reversal of 114974347960 is 69743479411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741160 + ... + 882760.

It is an arithmetic number, because the mean of its divisors is an integer number (4129114320).

Almost surely, 2114974347960 is an apocalyptic number.

114974347960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114974347960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132131658240).

114974347960 is an abundant number, since it is smaller than the sum of its proper divisors (149288968520).

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

114974347960 is a wasteful number, since it uses less digits than its factorization.

114974347960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142048 (or 142044 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 114974347960 in words is "one hundred fourteen billion, nine hundred seventy-four million, three hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 383 424 530 766 1060 1532 1915 2120 3064 3830 7660 15320 20299 40598 81196 101495 141601 162392 202990 283202 405980 566404 708005 811960 1132808 1416010 2832020 5664040 7504853 15009706 30019412 37524265 54233183 60038824 75048530 108466366 150097060 216932732 271165915 300194120 433865464 542331830 1084663660 2169327320 2874358699 5748717398 11497434796 14371793495 22994869592 28743586990 57487173980 114974347960