Search a number
-
+
114047752440 = 23351755905761
BaseRepresentation
bin110101000110111000…
…1101001100011111000
3101220101011222002212010
41222031301221203320
53332032211034230
6124220503045520
711145131620656
oct1521561514370
9356334862763
10114047752440
1144404a8a466
121a12a4408a0
13a9a6c9a9ab
14573ca07dd6
152e776519b0
hex1a8dc698f8

114047752440 has 64 divisors (see below), whose sum is σ = 362269337760. Its totient is φ = 28623749120.

The previous prime is 114047752433. The next prime is 114047752471. The reversal of 114047752440 is 44257740411.

It is a happy number.

114047752440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 27950841 + ... + 27954920.

Almost surely, 2114047752440 is an apocalyptic number.

114047752440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114047752440 is an abundant number, since it is smaller than the sum of its proper divisors (248221585320).

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

114047752440 is a wasteful number, since it uses less digits than its factorization.

114047752440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55905792 (or 55905788 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 114047752440 in words is "one hundred fourteen billion, forty-seven million, seven hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 55905761 111811522 167717283 223623044 279528805 335434566 447246088 559057610 670869132 838586415 950397937 1118115220 1341738264 1677172830 1900795874 2236230440 2851193811 3354345660 3801591748 4751989685 5702387622 6708691320 7603183496 9503979370 11404775244 14255969055 19007958740 22809550488 28511938110 38015917480 57023876220 114047752440