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114704080414632 = 233319100927700037
BaseRepresentation
bin11010000101001010011111…
…111101111010011110101000
3120001010121021120202102101000
4122011022133331322132220
5110013302424041232012
61043542154352355000
733106045020354042
oct3205123775723650
9501117246672330
10114704080414632
1133603800079355
1210a46504545a60
134c00718a02547
1420479c846ca92
15d3dab2ad1ddc
hex68529ff7a7a8

114704080414632 has 128 divisors (see below), whose sum is σ = 335724460560000. Its totient is φ = 36186440629248.

The previous prime is 114704080414631. The next prime is 114704080414669. The reversal of 114704080414632 is 236414080407411.

114704080414632 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 0 + 4 + 0 + 8 + 0 + 4 + 1 + 4 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (114704080414631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9709083 + ... + 17990954.

It is an arithmetic number, because the mean of its divisors is an integer number (2622847348125).

Almost surely, 2114704080414632 is an apocalyptic number.

114704080414632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114704080414632 is an abundant number, since it is smaller than the sum of its proper divisors (221020380145368).

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

114704080414632 is a wasteful number, since it uses less digits than its factorization.

114704080414632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27701080 (or 27701070 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 114704080414632 in words is "one hundred fourteen trillion, seven hundred four billion, eighty million, four hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1009 1026 1368 2018 2052 3027 4036 4104 6054 8072 9081 12108 18162 19171 24216 27243 36324 38342 54486 57513 72648 76684 108972 115026 153368 172539 217944 230052 345078 460104 517617 690156 1035234 1380312 2070468 4140936 27700037 55400074 83100111 110800148 166200222 221600296 249300333 332400444 498600666 526300703 664800888 747900999 997201332 1052601406 1495801998 1578902109 1994402664 2105202812 2991603996 3157804218 4210405624 4736706327 5983207992 6315608436 9473412654 12631216872 14210118981 18946825308 27949337333 28420237962 37893650616 55898674666 56840475924 83848011999 111797349332 113680951848 167696023998 223594698664 251544035997 335392047996 503088071994 531037409327 670784095992 754632107991 1006176143988 1062074818654 1509264215982 1593112227981 2012352287976 2124149637308 3018528431964 3186224455962 4248299274616 4779336683943 6037056863928 6372448911924 9558673367886 12744897823848 14338010051829 19117346735772 28676020103658 38234693471544 57352040207316 114704080414632