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115032224244042 = 232773106911698991
BaseRepresentation
bin11010001001111100000110…
…110111010010000101001010
3120002021222021111021010010100
4122021330012313102011022
5110034141443401302132
61044353024013430230
733141542516033250
oct3211740667220512
9502258244233110
10115032224244042
113371a98a77a1a6
1210a9a02319b376
134c2565249a241
1420598372c05d0
15d473bae6837c
hex689f06dd214a

115032224244042 has 96 divisors (see below), whose sum is σ = 289013770206720. Its totient is φ = 32385799261440.

The previous prime is 115032224244031. The next prime is 115032224244043. The reversal of 115032224244042 is 240442422230511.

115032224244042 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 3 + 2 + 2 + 242 + 4 + 404 + 2 = 666.

It is a super-2 number, since 2×1150322242440422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115032224243988 and 115032224244006.

It is not an unprimeable number, because it can be changed into a prime (115032224244043) 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, 3983167 + ... + 15682157.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560106320).

Almost surely, 2115032224244042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115032224244042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506885103360).

115032224244042 is an abundant number, since it is smaller than the sum of its proper divisors (173981545962678).

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

115032224244042 is a wasteful number, since it uses less digits than its factorization.

115032224244042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700148 (or 11700145 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 115032224244042 its reverse (240442422230511), we get a palindrome (355474646474553).

The spelling of 115032224244042 in words is "one hundred fifteen trillion, thirty-two billion, two hundred twenty-four million, two hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1069 1314 1533 2138 3066 3207 4599 6414 7483 9198 9621 14966 19242 22449 44898 67347 78037 134694 156074 234111 468222 546259 702333 1092518 1404666 1638777 3277554 4916331 9832662 11698991 23397982 35096973 70193946 81892937 105290919 163785874 210581838 245678811 491357622 737036433 854026343 1474072866 1708052686 2562079029 5124158058 5978184401 7686237087 11956368802 12506221379 15372474174 17934553203 25012442758 35869106406 37518664137 53803659609 75037328274 87543549653 107607319218 112555992411 175087099306 225111984822 262630648959 525261297918 787891946877 912954160667 1575783893754 1825908321334 2738862482001 5477724964002 6390679124669 8216587446003 12781358249338 16433174892006 19172037374007 38344074748014 57516112122021 115032224244042