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114123825080 = 23559128337691
BaseRepresentation
bin110101001001001001…
…1110101111110111000
3101220120111002222220022
41222102103311332320
53332211144400310
6124232221350012
711150044336046
oct1522223657670
9356514088808
10114123825080
1144443a18a11
121a14ba08308
13a9b99845a5
145748b6b396
152e7e17ba55
hex1a924f5fb8

114123825080 has 64 divisors (see below), whose sum is σ = 261341251200. Its totient is φ = 44839642240.

The previous prime is 114123825073. The next prime is 114123825131. The reversal of 114123825080 is 80528321411.

It is a self number, because there is not a number n which added to its sum of digits gives 114123825080.

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, 3009035 + ... + 3046725.

It is an arithmetic number, because the mean of its divisors is an integer number (4083457050).

Almost surely, 2114123825080 is an apocalyptic number.

114123825080 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 114123825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130670625600).

114123825080 is an abundant number, since it is smaller than the sum of its proper divisors (147217426120).

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

114123825080 is a wasteful number, since it uses less digits than its factorization.

114123825080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39044 (or 39040 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 114123825080 in words is "one hundred fourteen billion, one hundred twenty-three million, eight hundred twenty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 1283 2360 2566 5132 6415 10264 12830 25660 37691 51320 75382 75697 150764 151394 188455 301528 302788 376910 378485 605576 753820 756970 1507640 1513940 2223769 3027880 4447538 8895076 11118845 17790152 22237690 44475380 48357553 88950760 96715106 193430212 241787765 386860424 483575530 967151060 1934302120 2853095627 5706191254 11412382508 14265478135 22824765016 28530956270 57061912540 114123825080