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114587402916 = 22373185751347
BaseRepresentation
bin110101010110111110…
…0010000001010100100
3101221202210102012010210
41222231330100022210
53334133333343131
6124350221415420
711164403565660
oct1525574201244
9357683365123
10114587402916
1144661668898
121a25b10a570
13aa61a264bc
1457905618a0
152ea9bed146
hex1aadf102a4

114587402916 has 96 divisors (see below), whose sum is σ = 315797594112. Its totient is φ = 31645566720.

The previous prime is 114587402749. The next prime is 114587402921. The reversal of 114587402916 is 619204785411.

114587402916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1145874029163 (a number of 34 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2205955 + ... + 2257301.

It is an arithmetic number, because the mean of its divisors is an integer number (3289558272).

Almost surely, 2114587402916 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 114587402916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157898797056).

114587402916 is an abundant number, since it is smaller than the sum of its proper divisors (201210191196).

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

114587402916 is a wasteful number, since it uses less digits than its factorization.

114587402916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52249 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 114587402916 in words is "one hundred fourteen billion, five hundred eighty-seven million, four hundred two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 857 868 1302 1714 2571 2604 3428 5142 5999 10284 11998 17997 23996 26567 35994 51347 53134 71988 79701 102694 106268 154041 159402 185969 205388 308082 318804 359429 371938 557907 616164 718858 743876 1078287 1115814 1437716 1591757 2156574 2231628 3183514 4313148 4775271 6367028 9550542 11142299 19101084 22284598 33426897 44004379 44569196 66853794 88008758 132013137 133707588 176017516 264026274 308030653 528052548 616061306 924091959 1232122612 1364135749 1848183918 2728271498 3696367836 4092407247 5456542996 8184814494 9548950243 16369628988 19097900486 28646850729 38195800972 57293701458 114587402916