Search a number
-
+
131153145014240 = 25510114954469211
BaseRepresentation
bin11101110100100001111000…
…100111101010011111100000
3122012101010012011210111121022
4131310201320213222133200
5114142303120110423430
61142534531213345012
736424334124460466
oct3564417047523740
9565333164714538
10131153145014240
1138875811228a98
1212862436a98168
1358248c485913b
142455bbb94a836
1510268daa7a4e5
hex7748789ea7e0

131153145014240 has 96 divisors (see below), whose sum is σ = 315017240680800. Its totient is φ = 51593235712000.

The previous prime is 131153145014207. The next prime is 131153145014263. The reversal of 131153145014240 is 42410541351131.

It is a super-2 number, since 2×1311531450142402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131153145014240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24826766 + ... + 29642445.

It is an arithmetic number, because the mean of its divisors is an integer number (3281429590425).

Almost surely, 2131153145014240 is an apocalyptic number.

131153145014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131153145014240 is an abundant number, since it is smaller than the sum of its proper divisors (183864095666560).

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

131153145014240 is a wasteful number, since it uses less digits than its factorization.

131153145014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54469476 (or 54469468 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 131153145014240 its reverse (42410541351131), we get a palindrome (173563686365371).

The spelling of 131153145014240 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, one hundred forty-five million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 149 160 202 298 404 505 596 745 808 1010 1192 1490 1616 2020 2384 2980 3232 4040 4768 5960 8080 11920 15049 16160 23840 30098 60196 75245 120392 150490 240784 300980 481568 601960 1203920 2407840 54469211 108938422 217876844 272346055 435753688 544692110 871507376 1089384220 1743014752 2178768440 4357536880 5501390311 8115912439 8715073760 11002780622 16231824878 22005561244 27506951555 32463649756 40579562195 44011122488 55013903110 64927299512 81159124390 88022244976 110027806220 129854599024 162318248780 176044489952 220055612440 259709198048 324636497560 440111224880 649272995120 819707156339 880222449760 1298545990240 1639414312678 3278828625356 4098535781695 6557657250712 8197071563390 13115314501424 16394143126780 26230629002848 32788286253560 65576572507120 131153145014240