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114201034818 = 23135347235849
BaseRepresentation
bin110101001011011101…
…0011000000001000010
3101220202212101122202020
41222112322120001002
53332340431103233
6124244020302310
711152002531243
oct1522672300102
9356685348666
10114201034818
1144483563812
121a171841996
13a9cc978920
145755108cca
152e85d2d9b3
hex1a96e98042

114201034818 has 64 divisors (see below), whose sum is σ = 250708348800. Its totient is φ = 34462591488.

The previous prime is 114201034789. The next prime is 114201034859. The reversal of 114201034818 is 818430102411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19521958 + ... + 19527806.

It is an arithmetic number, because the mean of its divisors is an integer number (3917317950).

Almost surely, 2114201034818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114201034818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125354174400).

114201034818 is an abundant number, since it is smaller than the sum of its proper divisors (136507313982).

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

114201034818 is a wasteful number, since it uses less digits than its factorization.

114201034818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643.

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 114201034818 in words is "one hundred fourteen billion, two hundred one million, thirty-four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 4723 5849 9446 11698 14169 17547 28338 35094 61399 76037 122798 152074 184197 228111 250319 309997 368394 456222 500638 619994 750957 929991 1501914 1859982 3254147 4029961 6508294 8059922 9762441 12089883 19524882 24179766 27624827 55249654 82874481 165748962 359122751 718245502 1077368253 1464115831 2154736506 2928231662 4392347493 8784694986 19033505803 38067011606 57100517409 114201034818