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113741381040 = 24357239283277
BaseRepresentation
bin110100111101110000…
…0111011110110110000
3101212120211110211022020
41221323200323312300
53330420243143130
6124130240311440
711134421533620
oct1517340736660
9355524424266
10113741381040
1144268054061
121a063912580
13a95867bb41
145710056880
152e5a7d4e10
hex1a7b83bdb0

113741381040 has 160 divisors (see below), whose sum is σ = 404656957440. Its totient is φ = 25889160192.

The previous prime is 113741381009. The next prime is 113741381053. The reversal of 113741381040 is 40183147311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113741380992 and 113741381010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259882 + ... + 543158.

It is an arithmetic number, because the mean of its divisors is an integer number (2529105984).

Almost surely, 2113741381040 is an apocalyptic number.

113741381040 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 113741381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202328478720).

113741381040 is an abundant number, since it is smaller than the sum of its proper divisors (290915576400).

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

113741381040 is a wasteful number, since it uses less digits than its factorization.

113741381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283539 (or 283533 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 113741381040 in words is "one hundred thirteen billion, seven hundred forty-one million, three hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 280 336 420 478 560 717 840 956 1195 1434 1673 1680 1912 2390 2868 3346 3585 3824 4780 5019 5736 6692 7170 8365 9560 10038 11472 13384 14340 16730 19120 20076 25095 26768 28680 33460 40152 50190 57360 66920 80304 100380 133840 200760 283277 401520 566554 849831 1133108 1416385 1699662 1982939 2266216 2832770 3399324 3965878 4249155 4532432 5665540 5948817 6798648 7931756 8498310 9914695 11331080 11897634 13597296 15863512 16996620 19829390 22662160 23795268 29744085 31727024 33993240 39658780 47590536 59488170 67703203 67986480 79317560 95181072 118976340 135406406 158635120 203109609 237952680 270812812 338516015 406219218 473922421 475905360 541625624 677032030 812438436 947844842 1015548045 1083251248 1354064060 1421767263 1624876872 1895689684 2031096090 2369612105 2708128120 2843534526 3249753744 3791379368 4062192180 4739224210 5416256240 5687069052 7108836315 7582758736 8124384360 9478448420 11374138104 14217672630 16248768720 18956896840 22748276208 28435345260 37913793680 56870690520 113741381040