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113871053040 = 243510918124049
BaseRepresentation
bin110101000001100111…
…1100110000011110000
3101212220212110211211220
41222003033212003300
53331201442144130
6124151151505040
711140554660243
oct1520317460360
9355825424756
10113871053040
11443242715a8
121a09b228180
13a9794b1234
14572336d25a
152e66d9b410
hex1a833e60f0

113871053040 has 160 divisors (see below), whose sum is σ = 358221864000. Its totient is φ = 29919559680.

The previous prime is 113871053039. The next prime is 113871053057. The reversal of 113871053040 is 40350178311.

It is a junction number, because it is equal to n+sod(n) for n = 113871052992 and 113871053010.

It is a congruent number.

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, 4722936 + ... + 4746984.

It is an arithmetic number, because the mean of its divisors is an integer number (2238886650).

Almost surely, 2113871053040 is an apocalyptic number.

113871053040 is a gapful number since it is divisible by the number (10) 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 113871053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179110932000).

113871053040 is an abundant number, since it is smaller than the sum of its proper divisors (244350810960).

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

113871053040 is a wasteful number, since it uses less digits than its factorization.

113871053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24355 (or 24349 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 113871053040 in words is "one hundred thirteen billion, eight hundred seventy-one million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 181 218 240 327 362 436 543 545 654 724 872 905 1086 1090 1308 1448 1635 1744 1810 2172 2180 2616 2715 2896 3270 3620 4344 4360 5232 5430 6540 7240 8688 8720 10860 13080 14480 19729 21720 24049 26160 39458 43440 48098 59187 72147 78916 96196 98645 118374 120245 144294 157832 192392 197290 236748 240490 288588 295935 315664 360735 384784 394580 473496 480980 577176 591870 721470 789160 946992 961960 1154352 1183740 1442940 1578320 1923920 2367480 2621341 2885880 4352869 4734960 5242682 5771760 7864023 8705738 10485364 13058607 13106705 15728046 17411476 20970728 21764345 26117214 26213410 31456092 34822952 39320115 41941456 43528690 52234428 52426820 62912184 65293035 69645904 78640230 87057380 104468856 104853640 125824368 130586070 157280460 174114760 208937712 209707280 261172140 314560920 348229520 474462721 522344280 629121840 948925442 1044688560 1423388163 1897850884 2372313605 2846776326 3795701768 4744627210 5693552652 7116940815 7591403536 9489254420 11387105304 14233881630 18978508840 22774210608 28467763260 37957017680 56935526520 113871053040