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114940245200 = 24521126122783
BaseRepresentation
bin110101100001011111…
…0001111010011010000
3101222200101100102202112
41223002332033103100
53340344200321300
6124445224204452
711206216651454
oct1530276172320
9358611312675
10114940245200
1144822854490
121a339309728
13aab9b66311
1457c536c664
152ecab98e35
hex1ac2f8f4d0

114940245200 has 60 divisors (see below), whose sum is σ = 301247945088. Its totient is φ = 41796451200.

The previous prime is 114940245169. The next prime is 114940245247. The reversal of 114940245200 is 2542049411.

114940245200 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 2×1149402452002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13056992 + ... + 13065791.

Almost surely, 2114940245200 is an apocalyptic number.

114940245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114940245200 is an abundant number, since it is smaller than the sum of its proper divisors (186307699888).

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

114940245200 is a wasteful number, since it uses less digits than its factorization.

114940245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122812 (or 26122801 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 114940245200 in words is "one hundred fourteen billion, nine hundred forty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 26122783 52245566 104491132 130613915 208982264 261227830 287350613 417964528 522455660 574701226 653069575 1044911320 1149402452 1306139150 1436753065 2089822640 2298804904 2612278300 2873506130 4597609808 5224556600 5747012260 7183765325 10449113200 11494024520 14367530650 22988049040 28735061300 57470122600 114940245200