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115230433042332 = 2232171277166388661
BaseRepresentation
bin11010001100110100101101…
…000001110101111110011100
3120002222220220000002022210200
4122030310231001311332130
5110100413411324323312
61045024044040103500
733162060360025656
oct3214645501657634
9502886800068720
10115230433042332
1133796a52446003
1210b1051aa64b90
134c3b24c689c3a
14206527b5396d6
15d4c61c0210dc
hex68cd2d075f9c

115230433042332 has 144 divisors (see below), whose sum is σ = 308841460042752. Its totient is φ = 36100286576640.

The previous prime is 115230433042313. The next prime is 115230433042337. The reversal of 115230433042332 is 233240334032511.

115230433042332 is a `hidden beast` number, since 1 + 1 + 52 + 30 + 43 + 304 + 233 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115230433042337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299630082 + ... + 1299718742.

It is an arithmetic number, because the mean of its divisors is an integer number (2144732361408).

Almost surely, 2115230433042332 is an apocalyptic number.

115230433042332 is a gapful number since it is divisible by the number (12) 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 115230433042332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154420730021376).

115230433042332 is an abundant number, since it is smaller than the sum of its proper divisors (193611027000420).

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

115230433042332 is a wasteful number, since it uses less digits than its factorization.

115230433042332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91628 (or 91623 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 115230433042332 its reverse (233240334032511), we get a palindrome (348470767074843).

The spelling of 115230433042332 in words is "one hundred fifteen trillion, two hundred thirty billion, four hundred thirty-three million, forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1277 1663 2554 3326 3831 4989 5108 6652 7662 9978 11493 14967 15324 19956 21709 22986 28271 29934 43418 45972 56542 59868 65127 84813 86836 88661 113084 130254 169626 177322 195381 254439 260508 265983 339252 354644 390762 508878 531966 781524 797949 1017756 1063932 1507237 1595898 2123651 3014474 3191796 4247302 4521711 6028948 6370953 8494604 9043422 12741906 13565133 18086844 19112859 25483812 27130266 36102067 38225718 54260532 72204134 76451436 108306201 113220097 144408268 147443243 216612402 226440194 294886486 324918603 339660291 433224804 442329729 452880388 589772972 649837206 679320582 884659458 1018980873 1299674412 1326989187 1358641164 1769318916 1924741649 2037961746 2506535131 2653978374 3849483298 4075923492 5013070262 5307956748 5774224947 7519605393 7698966596 10026140524 11548449894 15039210786 17322674841 22558816179 23096899788 30078421572 34645349682 45117632358 69290699364 90235264716 188285021311 376570042622 564855063933 753140085244 1129710127866 1694565191799 2259420255732 3200845362287 3389130383598 6401690724574 6778260767196 9602536086861 12803381449148 19205072173722 28807608260583 38410144347444 57615216521166 115230433042332