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115516420240 = 24513873712713
BaseRepresentation
bin110101110010101010…
…0001011000010010000
3102001011112112011022211
41223211110023002100
53343034200421430
6125022325441504
711226414241204
oct1534524130220
9361145464284
10115516420240
1144a9900a301
121a47a270294
13ab7c33c7b0
14583bab2b04
15301155c72a
hex1ae550b090

115516420240 has 80 divisors (see below), whose sum is σ = 289291202928. Its totient is φ = 42643980288.

The previous prime is 115516420177. The next prime is 115516420241. The reversal of 115516420240 is 42024615511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 294191104 + 115222229136 = 17152^2 + 339444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (115516420241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9080124 + ... + 9092836.

Almost surely, 2115516420240 is an apocalyptic number.

115516420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115516420240 is an abundant number, since it is smaller than the sum of its proper divisors (173774782688).

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

115516420240 is a wasteful number, since it uses less digits than its factorization.

115516420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21476 (or 21470 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 115516420240 in words is "one hundred fifteen billion, five hundred sixteen million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 8737 12713 17474 25426 34948 43685 50852 63565 69896 87370 101704 113581 127130 139792 165269 174740 203408 227162 254260 330538 349480 454324 508520 567905 661076 698960 826345 908648 1017040 1135810 1322152 1652690 1817296 2271620 2644304 3305380 4543240 6610760 9086480 13221520 111073481 222146962 444293924 555367405 888587848 1110734810 1443955253 1777175696 2221469620 2887910506 4442939240 5775821012 7219776265 8885878480 11551642024 14439552530 23103284048 28879105060 57758210120 115516420240