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113041422240 = 2535467504289
BaseRepresentation
bin110100101000111001…
…0110011011110100000
3101210210001101020100020
41221101302303132200
53323002101002430
6123532553553440
711111162143455
oct1512162633640
9353701336306
10113041422240
1143a38a3270a
1219aa9415880
13a876655436
1456850cd82c
152e1911eb10
hex1a51cb37a0

113041422240 has 96 divisors (see below), whose sum is σ = 356843672640. Its totient is φ = 30079770624.

The previous prime is 113041422199. The next prime is 113041422251. The reversal of 113041422240 is 42224140311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1130414222403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113041422240.

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, 27985 + ... + 476304.

It is an arithmetic number, because the mean of its divisors is an integer number (3717121590).

Almost surely, 2113041422240 is an apocalyptic number.

113041422240 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 113041422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178421836320).

113041422240 is an abundant number, since it is smaller than the sum of its proper divisors (243802250400).

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

113041422240 is a wasteful number, since it uses less digits than its factorization.

113041422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504774 (or 504766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113041422240 its reverse (42224140311), we get a palindrome (155265562551).

The spelling of 113041422240 in words is "one hundred thirteen billion, forty-one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 467 480 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 14944 18680 22416 28020 37360 44832 56040 74720 112080 224160 504289 1008578 1512867 2017156 2521445 3025734 4034312 5042890 6051468 7564335 8068624 10085780 12102936 15128670 16137248 20171560 24205872 30257340 40343120 48411744 60514680 80686240 121029360 235502963 242058720 471005926 706508889 942011852 1177514815 1413017778 1884023704 2355029630 2826035556 3532544445 3768047408 4710059260 5652071112 7065088890 7536094816 9420118520 11304142224 14130177780 18840237040 22608284448 28260355560 37680474080 56520711120 113041422240