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118442741456 = 241322912292
BaseRepresentation
bin110111001001110111…
…1001100111011010000
3102022201110220200101002
41232103233030323100
53420032320211311
6130224543001132
711362056456014
oct1562357147320
9368643820332
10118442741456
114625a926796
121ab562991a8
13b227697c00
145a385ba544
1531333ea93b
hex1b93bcced0

118442741456 has 90 divisors (see below), whose sum is σ = 257271287490. Its totient is φ = 52737904128.

The previous prime is 118442741429. The next prime is 118442741537. The reversal of 118442741456 is 654147244811.

It can be written as a sum of positive squares in 9 ways, for example, as 1177587856 + 117265153600 = 34316^2 + 342440^2 .

It is a super-2 number, since 2×1184427414562 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 118442741456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96372650 + ... + 96373878.

It is an arithmetic number, because the mean of its divisors is an integer number (2858569861).

Almost surely, 2118442741456 is an apocalyptic number.

118442741456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118442741456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128635643745).

118442741456 is an abundant number, since it is smaller than the sum of its proper divisors (138828546034).

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

118442741456 is an equidigital number, since it uses as much as digits as its factorization.

118442741456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 1273 counting only the distinct ones).

The product of its digits is 860160, while the sum is 47.

The spelling of 118442741456 in words is "one hundred eighteen billion, four hundred forty-two million, seven hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1229 1352 1508 2458 2704 3016 4901 4916 6032 9802 9832 15977 19604 19664 31954 35641 39208 63908 71282 78416 127816 142564 207701 255632 285128 415402 463333 570256 830804 926666 1510441 1661608 1853332 3020882 3323216 3706664 6023329 6041764 7413328 12046658 12083528 19635733 24093316 24167056 39271466 43802789 48186632 78542932 87605578 96373264 157085864 175211156 255264529 314171728 350422312 510529058 569436257 700844624 1021058116 1138872514 2042116232 2277745028 4084232464 4555490056 7402671341 9110980112 14805342682 29610685364 59221370728 118442741456