Search a number
-
+
114041907144 = 233211631228197
BaseRepresentation
bin110101000110101101…
…1010110011111001000
3101220100202222010121200
41222031123112133020
53332024212012034
6124220133504200
711145031134204
oct1521533263710
9356322863550
10114041907144
1144401757840
121a1284a2060
13a9a5a02239
14573bd25b04
152e76d99a99
hex1a8d6d67c8

114041907144 has 96 divisors (see below), whose sum is σ = 337477458240. Its totient is φ = 34503235200.

The previous prime is 114041907113. The next prime is 114041907163. The reversal of 114041907144 is 441709140411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114041907099 and 114041907108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385654 + ... + 613850.

It is an arithmetic number, because the mean of its divisors is an integer number (3515390190).

Almost surely, 2114041907144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114041907144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168738729120).

114041907144 is an abundant number, since it is smaller than the sum of its proper divisors (223435551096).

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

114041907144 is a wasteful number, since it uses less digits than its factorization.

114041907144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228851 (or 228844 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 114041907144 in words is "one hundred fourteen billion, forty-one million, nine hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 631 792 1262 1893 2524 3786 5048 5679 6941 7572 11358 13882 15144 20823 22716 27764 41646 45432 55528 62469 83292 124938 166584 228197 249876 456394 499752 684591 912788 1369182 1825576 2053773 2510167 2738364 4107546 5020334 5476728 7530501 8215092 10040668 15061002 16430184 20081336 22591503 30122004 45183006 60244008 90366012 143992307 180732024 287984614 431976921 575969228 863953842 1151938456 1295930763 1583915377 1727907684 2591861526 3167830754 3455815368 4751746131 5183723052 6335661508 9503492262 10367446104 12671323016 14255238393 19006984524 28510476786 38013969048 57020953572 114041907144