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118309857444 = 22349721972
BaseRepresentation
bin110111000101111010…
…0010010100010100100
3102022101012212110210000
41232023310102202210
53414244310414234
6130203434501300
711355554124042
oct1561364224244
9368335773700
10118309857444
11461a1914a99
121ab19894830
13b205cac80c
145a24aa9392
1531268ec899
hex1b8bd128a4

118309857444 has 135 divisors (see below), whose sum is σ = 314101098003. Its totient is φ = 38831933952.

The previous prime is 118309857431. The next prime is 118309857493. The reversal of 118309857444 is 444758903811.

The square root of 118309857444 is 343962.

It is a perfect power (a square), and thus also a powerful number.

118309857444 is a `hidden beast` number, since 118 + 3 + 0 + 9 + 85 + 7 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36811027044 + 81498830400 = 191862^2 + 285480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 600557554 + ... + 600557750.

Almost surely, 2118309857444 is an apocalyptic number.

118309857444 is the 343962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118309857444

118309857444 is an abundant number, since it is smaller than the sum of its proper divisors (195791240559).

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

118309857444 is an frugal number, since it uses more digits than its factorization.

118309857444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 118309857444 in words is "one hundred eighteen billion, three hundred nine million, eight hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 197 291 324 388 394 582 591 788 873 1164 1182 1746 1773 2364 2619 3492 3546 5238 5319 7092 7857 9409 10476 10638 15714 15957 18818 19109 21276 28227 31428 31914 37636 38218 38809 56454 57327 63828 76436 77618 84681 112908 114654 116427 155236 169362 171981 229308 232854 254043 338724 343962 349281 465708 508086 515943 687924 698562 762129 1016172 1031886 1047843 1397124 1524258 1547829 1853573 2063772 2095686 3048516 3095658 3143529 3707146 3764473 4191372 5560719 6191316 6287058 7414292 7528946 11121438 11293419 12574116 15057892 16682157 22242876 22586838 33364314 33880257 45173676 50046471 66728628 67760514 100092942 101640771 135521028 150139413 200185884 203281542 300278826 304922313 365153881 406563084 600557652 609844626 730307762 1095461643 1219689252 1460615524 2190923286 3286384929 4381846572 6572769858 9859154787 13145539716 19718309574 29577464361 39436619148 59154928722 118309857444