Search a number
-
+
113265656240 = 24511397324209
BaseRepresentation
bin110100101111100101…
…0001100000110110000
3101211100200022111120012
41221133022030012300
53323432001444430
6124011124034052
711116554123062
oct1513712140660
9354320274505
10113265656240
1144043567a70
1219b50532928
13a8b0c46089
1456a6bbd732
152e2db64695
hex1a5f28c1b0

113265656240 has 80 divisors (see below), whose sum is σ = 288007414560. Its totient is φ = 41083637760.

The previous prime is 113265656219. The next prime is 113265656279. The reversal of 113265656240 is 42656562311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 187256 + ... + 511464.

It is an arithmetic number, because the mean of its divisors is an integer number (3600092682).

Almost surely, 2113265656240 is an apocalyptic number.

113265656240 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 113265656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144003707280).

113265656240 is an abundant number, since it is smaller than the sum of its proper divisors (174741758320).

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

113265656240 is a wasteful number, since it uses less digits than its factorization.

113265656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324630 (or 324624 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 113265656240 in words is "one hundred thirteen billion, two hundred sixty-five million, six hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 397 440 794 880 1588 1985 3176 3970 4367 6352 7940 8734 15880 17468 21835 31760 34936 43670 69872 87340 174680 324209 349360 648418 1296836 1621045 2593672 3242090 3566299 5187344 6484180 7132598 12968360 14265196 17831495 25936720 28530392 35662990 57060784 71325980 128710973 142651960 257421946 285303920 514843892 643554865 1029687784 1287109730 1415820703 2059375568 2574219460 2831641406 5148438920 5663282812 7079103515 10296877840 11326565624 14158207030 22653131248 28316414060 56632828120 113265656240