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115032224243916 = 223272993716798921
BaseRepresentation
bin11010001001111100000110…
…110111010010000011001100
3120002021222021111021002221200
4122021330012313102003030
5110034141443401301131
61044353024013425500
733141542516033010
oct3211740667220314
9502258244232850
10115032224243916
113371a98a77a0a1
1210a9a02319b290
134c2565249a175
1420598372c0540
15d473bae682e6
hex689f06dd20cc

115032224243916 has 144 divisors (see below), whose sum is σ = 344141372178240. Its totient is φ = 31699158865920.

The previous prime is 115032224243843. The next prime is 115032224243917. The reversal of 115032224243916 is 619342422230511.

115032224243916 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 32 + 224 + 2 + 4 + 391 + 6 = 666.

It is a super-2 number, since 2×1150322242439162 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115032224243917) 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, 1551865 + ... + 15247056.

Almost surely, 2115032224243916 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 115032224243916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172070686089120).

115032224243916 is an abundant number, since it is smaller than the sum of its proper divisors (229109147934324).

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

115032224243916 is a wasteful number, since it uses less digits than its factorization.

115032224243916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16799904 (or 16799899 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 115032224243916 in words is "one hundred fifteen trillion, thirty-two billion, two hundred twenty-four million, two hundred forty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 937 1044 1218 1827 1874 2436 2811 3654 3748 5622 6559 7308 8433 11244 13118 16866 19677 26236 27173 33732 39354 54346 59031 78708 81519 108692 118062 163038 190211 236124 244557 326076 380422 489114 570633 760844 978228 1141266 1711899 2282532 3423798 6847596 16798921 33597842 50396763 67195684 100793526 117592447 151190289 201587052 235184894 302380578 352777341 470369788 487168709 604761156 705554682 974337418 1058332023 1411109364 1461506127 1948674836 2116664046 2923012254 3410180963 4233328092 4384518381 5846024508 6820361926 8769036762 10230542889 13640723852 15740588977 17538073524 20461085778 30691628667 31481177954 40922171556 47221766931 61383257334 62962355908 94443533862 110184122839 122766514668 141665300793 188887067724 220368245678 283330601586 330552368517 440736491356 456477080333 566661203172 661104737034 912954160666 991657105551 1322209474068 1369431240999 1825908321332 1983314211102 2738862481998 3195339562331 3966628422204 4108293722997 5477724963996 6390679124662 8216587445994 9586018686993 12781358249324 16433174891988 19172037373986 28758056060979 38344074747972 57516112121958 115032224243916