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114113360592 = 243271110291609
BaseRepresentation
bin110101001000110101…
…1111011001011010000
3101220112202102100022200
41222101223323023100
53332201010014332
6124231205203200
711146556363250
oct1522153731320
9356482370280
10114113360592
1144439020880
121a148400500
13a9b775c49a
145747605960
152e7d2b117c
hex1a91afb2d0

114113360592 has 120 divisors (see below), whose sum is σ = 398161807680. Its totient is φ = 29639831040.

The previous prime is 114113360587. The next prime is 114113360611. The reversal of 114113360592 is 295063311411.

114113360592 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 3 + 3 + 60 + 592 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5134717 + ... + 5156892.

It is an arithmetic number, because the mean of its divisors is an integer number (3318015064).

Almost surely, 2114113360592 is an apocalyptic number.

114113360592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114113360592 is an abundant number, since it is smaller than the sum of its proper divisors (284048447088).

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

114113360592 is a wasteful number, since it uses less digits than its factorization.

114113360592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291641 (or 10291632 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 114113360592 in words is "one hundred fourteen billion, one hundred thirteen million, three hundred sixty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 10291609 20583218 30874827 41166436 61749654 72041263 82332872 92624481 113207699 123499308 144082526 164665744 185248962 216123789 226415398 246998616 288165052 339623097 370497924 432247578 452830796 493997232 576330104 648371367 679246194 740995848 792453893 864495156 905661592 1018869291 1152660208 1296742734 1358492388 1481991696 1584907786 1728990312 1811323184 2037738582 2377361679 2593485468 2716984776 3169815572 3457980624 4075477164 4754723358 5186970936 5433969552 6339631144 7132085037 8150954328 9509446716 10373941872 12679262288 14264170074 16301908656 19018893432 28528340148 38037786864 57056680296 114113360592