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114079001892 = 223234361157579
BaseRepresentation
bin110101000111110100…
…0110110110100100100
3101220110100202202001020
41222033220312310210
53332113211030032
6124223540531140
711145661342152
oct1521750666444
9356410682036
10114079001892
1144420693659
121a1389b0ab0
13a9b05bc5ab
145742c203d2
152e7a275b2c
hex1a8fa36d24

114079001892 has 96 divisors (see below), whose sum is σ = 288878177280. Its totient is φ = 34944497280.

The previous prime is 114079001887. The next prime is 114079001903. The reversal of 114079001892 is 298100970411.

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 31 ways as a sum of consecutive naturals, for example, 645159 + ... + 802737.

It is an arithmetic number, because the mean of its divisors is an integer number (3009147680).

Almost surely, 2114079001892 is an apocalyptic number.

114079001892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114079001892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144439088640).

114079001892 is an abundant number, since it is smaller than the sum of its proper divisors (174799175388).

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

114079001892 is a wasteful number, since it uses less digits than its factorization.

114079001892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157713 (or 157711 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 114079001892 in words is "one hundred fourteen billion, seventy-nine million, one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 43 46 61 69 86 92 122 129 138 172 183 244 258 276 366 516 732 989 1403 1978 2623 2806 2967 3956 4209 5246 5612 5934 7869 8418 10492 11868 15738 16836 31476 60329 120658 157579 180987 241316 315158 361974 472737 630316 723948 945474 1890948 3624317 6775897 7248634 9612319 10872951 13551794 14497268 19224638 20327691 21745902 27103588 28836957 38449276 40655382 43491804 57673914 81310764 115347828 155845631 221083337 311691262 413329717 442166674 467536893 623382524 663250011 826659434 884333348 935073786 1239989151 1326500022 1653318868 1870147572 2479978302 2653000044 4959956604 9506583491 19013166982 28519750473 38026333964 57039500946 114079001892