Search a number
-
+
117337440960 = 2632540742167
BaseRepresentation
bin110110101000111011…
…0110100001011000000
3102012212110002121010200
41231101312310023000
53410301341102320
6125523140325200
711322505535415
oct1552166641300
9365773077120
10117337440960
1145842a21103
121a8a80a3800
13b0ac6ac74c
14597189c10c
1530bb369290
hex1b51db42c0

117337440960 has 84 divisors (see below), whose sum is σ = 403591916208. Its totient is φ = 31289983488.

The previous prime is 117337440901. The next prime is 117337440973. The reversal of 117337440960 is 69044733711.

117337440960 is a `hidden beast` number, since 1 + 173 + 3 + 74 + 409 + 6 + 0 = 666.

It is a super-4 number, since 4×1173374409604 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20368204 + ... + 20373963.

Almost surely, 2117337440960 is an apocalyptic number.

117337440960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117337440960 is an abundant number, since it is smaller than the sum of its proper divisors (286254475248).

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

117337440960 is a wasteful number, since it uses less digits than its factorization.

117337440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40742190 (or 40742177 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 117337440960 in words is "one hundred seventeen billion, three hundred thirty-seven million, four hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 40742167 81484334 122226501 162968668 203710835 244453002 325937336 366679503 407421670 488906004 611132505 651874672 733359006 814843340 977812008 1222265010 1303749344 1466718012 1629686680 1833397515 1955624016 2444530020 2607498688 2933436024 3259373360 3666795030 3911248032 4889060040 5866872048 6518746720 7333590060 7822496064 9778120080 11733744096 13037493440 14667180120 19556240160 23467488192 29334360240 39112480320 58668720480 117337440960