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114859980990 = 23351779316759
BaseRepresentation
bin110101011111000110…
…0000011100010111110
3101222110210022120222000
41222332030003202332
53340213123342430
6124433240003130
711204223505146
oct1527614034276
9358423276860
10114859980990
1144791512827
121a3164604a6
13aaa63428c1
1457b8837926
152ec3ae1e60
hex1abe3038be

114859980990 has 128 divisors (see below), whose sum is σ = 328416768000. Its totient is φ = 28462606848.

The previous prime is 114859980953. The next prime is 114859981003. The reversal of 114859980990 is 99089958411.

It is a super-2 number, since 2×1148599809902 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204231 + ... + 520989.

It is an arithmetic number, because the mean of its divisors is an integer number (2565756000).

Almost surely, 2114859980990 is an apocalyptic number.

114859980990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114859980990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164208384000).

114859980990 is an abundant number, since it is smaller than the sum of its proper divisors (213556787010).

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

114859980990 is a wasteful number, since it uses less digits than its factorization.

114859980990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316871 (or 316865 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 114859980990 in words is "one hundred fourteen billion, eight hundred fifty-nine million, nine hundred eighty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 79 85 90 102 135 153 158 170 237 255 270 306 395 459 474 510 711 765 790 918 1185 1343 1422 1530 2133 2295 2370 2686 3555 4029 4266 4590 6715 7110 8058 10665 12087 13430 20145 21330 24174 36261 40290 60435 72522 120870 181305 316759 362610 633518 950277 1583795 1900554 2850831 3167590 4751385 5384903 5701662 8552493 9502770 10769806 14254155 16154709 17104986 25023961 26924515 28508310 32309418 42762465 48464127 50047922 53849030 75071883 80773545 85524930 96928254 125119805 145392381 150143766 161547090 225215649 242320635 250239610 290784762 375359415 425407337 450431298 484641270 675646947 726961905 750718830 850814674 1126078245 1276222011 1351293894 1453923810 2127036685 2252156490 2552444022 3378234735 3828666033 4254073370 6381110055 6756469470 7657332066 11485998099 12762220110 19143330165 22971996198 38286660330 57429990495 114859980990