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113415423760 = 2457417191141
BaseRepresentation
bin110100110100000010…
…1100000011100010000
3101211202010010110222101
41221220011200130100
53324233322030020
6124034034050144
711123353124062
oct1515005403420
9354663113871
10113415423760
1144110060581
1219b92719954
13a905c93202
1456bca47732
152e3bd9a00a
hex1a68160710

113415423760 has 40 divisors (see below), whose sum is σ = 263727792216. Its totient is φ = 45359815680.

The previous prime is 113415423739. The next prime is 113415423761. The reversal of 113415423760 is 67324514311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47405481984 + 66009941776 = 217728^2 + 256924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (113415423761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497790 + ... + 688930.

Almost surely, 2113415423760 is an apocalyptic number.

113415423760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113415423760 is an abundant number, since it is smaller than the sum of its proper divisors (150312368456).

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

113415423760 is a wasteful number, since it uses less digits than its factorization.

113415423760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198571 (or 198565 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 113415423760 in words is "one hundred thirteen billion, four hundred fifteen million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7417 14834 29668 37085 59336 74170 118672 148340 191141 296680 382282 593360 764564 955705 1529128 1911410 3058256 3822820 7645640 15291280 1417692797 2835385594 5670771188 7088463985 11341542376 14176927970 22683084752 28353855940 56707711880 113415423760