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115741842944 = 297132191089
BaseRepresentation
bin110101111001011000…
…0000101111000000000
3102001202020200211010212
41223302300011320000
53344014402433234
6125100541213252
711235122301230
oct1536260057000
9361666624125
10115741842944
11450a4286762
121a521861228
13abb6c58500
14585d9d1cc0
1530262395ce
hex1af2c05e00

115741842944 has 120 divisors (see below), whose sum is σ = 286190142480. Its totient is φ = 45787742208.

The previous prime is 115741842911. The next prime is 115741842959. The reversal of 115741842944 is 449248147511.

It is a junction number, because it is equal to n+sod(n) for n = 115741842892 and 115741842901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510152 + ... + 701240.

It is an arithmetic number, because the mean of its divisors is an integer number (2384917854).

Almost surely, 2115741842944 is an apocalyptic number.

115741842944 is a gapful number since it is divisible by the number (14) 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 115741842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095071240).

115741842944 is an abundant number, since it is smaller than the sum of its proper divisors (170448299536).

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

115741842944 is an equidigital number, since it uses as much as digits as its factorization.

115741842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191140 (or 191111 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 50.

The spelling of 115741842944 in words is "one hundred fifteen billion, seven hundred forty-one million, eight hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 416 448 512 676 728 832 896 1183 1352 1456 1664 1792 2366 2704 2912 3328 3584 4732 5408 5824 6656 9464 10816 11648 18928 21632 23296 37856 43264 46592 75712 86528 151424 191089 302848 382178 605696 764356 1337623 1528712 2484157 2675246 3057424 4968314 5350492 6114848 9936628 10700984 12229696 17389099 19873256 21401968 24459392 32294041 34778198 39746512 42803936 48918784 64588082 69556396 79493024 85607872 97837568 129176164 139112792 158986048 171215744 226058287 258352328 278225584 317972096 342431488 452116574 516704656 556451168 635944192 684862976 904233148 1033409312 1112902336 1271888384 1808466296 2066818624 2225804672 3616932592 4133637248 4451609344 7233865184 8267274496 8903218688 14467730368 16534548992 28935460736 57870921472 115741842944