Search a number
-
+
114002515045110 = 235165721791052479
BaseRepresentation
bin11001111010111101000111…
…011010011010101011110110
3112221122112102021202000100010
4121322331013122122223312
5104420304122322420420
61042244011000001050
733004260412203006
oct3172750732325366
9487575367660303
10114002515045110
113336321678143a
121095254b760186
134b7c511166363
142021a732ca006
15d2a7013bb4e0
hex67af4769aaf6

114002515045110 has 64 divisors (see below), whose sum is σ = 273897058406400. Its totient is φ = 30368351768832.

The previous prime is 114002515045099. The next prime is 114002515045169. The reversal of 114002515045110 is 11540515200411.

114002515045110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1140025150451102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107791851 + ... + 108844329.

It is an arithmetic number, because the mean of its divisors is an integer number (4279641537600).

Almost surely, 2114002515045110 is an apocalyptic number.

114002515045110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114002515045110 is an abundant number, since it is smaller than the sum of its proper divisors (159894543361290).

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

114002515045110 is a wasteful number, since it uses less digits than its factorization.

114002515045110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056325.

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 114002515045110 in words is "one hundred fourteen trillion, two billion, five hundred fifteen million, forty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1657 2179 3314 4358 4971 6537 8285 9942 10895 13074 16570 21790 24855 32685 49710 65370 1052479 2104958 3157437 3610603 5262395 6314874 7221206 10524790 10831809 15787185 18053015 21663618 31574370 36106030 54159045 108318090 1743957703 2293351741 3487915406 4586703482 5231873109 6880055223 8719788515 10463746218 11466758705 13760110446 17439577030 22933517410 26159365545 34400276115 52318731090 68800552230 3800083834837 7600167669674 11400251504511 19000419174185 22800503009022 38000838348370 57001257522555 114002515045110