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117701144 = 2311372977
BaseRepresentation
bin1110000001111…
…11101000011000
322012110211121122
413000333220120
5220112414034
615402424412
72626305011
oct700775030
9265424548
10117701144
1160491680
1233502108
131b500762
14118bc008
15a4ee62e
hex703fa18

117701144 has 48 divisors (see below), whose sum is σ = 247688280. Its totient is φ = 52001280.

The previous prime is 117701093. The next prime is 117701153. The reversal of 117701144 is 441107711.

It is a super-3 number, since 3×1177011443 (a number of 25 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119984 + ... + 120960.

Almost surely, 2117701144 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 117701144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123844140).

117701144 is an abundant number, since it is smaller than the sum of its proper divisors (129987136).

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

117701144 is a wasteful number, since it uses less digits than its factorization.

117701144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 117701144 is about 10849.0158078970. The cubic root of 117701144 is about 490.0723813664.

Adding to 117701144 its reverse (441107711), we get a palindrome (558808855).

The spelling of 117701144 in words is "one hundred seventeen million, seven hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 977 1369 1628 1954 2738 3256 3908 5476 7816 10747 10952 15059 21494 30118 36149 42988 60236 72298 85976 120472 144596 289192 397639 795278 1337513 1590556 2675026 3181112 5350052 10700104 14712643 29425286 58850572 117701144