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113440242400 = 2552241588383
BaseRepresentation
bin110100110100110010…
…0001011101011100000
3101211210211211101202021
41221221210023223200
53324311200224100
6124040322031224
711124104102452
oct1515144135340
9354724741667
10113440242400
1144123072151
1219b9aaa8514
13a90b1729b4
1456c20682d2
152e3e14da1a
hex1a6990bae0

113440242400 has 72 divisors (see below), whose sum is σ = 278085576384. Its totient is φ = 45187737600.

The previous prime is 113440242371. The next prime is 113440242401. The reversal of 113440242400 is 4242044311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113440242401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 101392 + ... + 486991.

It is an arithmetic number, because the mean of its divisors is an integer number (3862299672).

Almost surely, 2113440242400 is an apocalyptic number.

113440242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113440242400 is an abundant number, since it is smaller than the sum of its proper divisors (164645333984).

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

113440242400 is a wasteful number, since it uses less digits than its factorization.

113440242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588644 (or 588631 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 113440242400 its reverse (4242044311), we get a palindrome (117682286711).

The spelling of 113440242400 in words is "one hundred thirteen billion, four hundred forty million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 38560 48200 96400 192800 588383 1176766 2353532 2941915 4707064 5883830 9414128 11767660 14709575 18828256 23535320 29419150 47070640 58838300 94141280 117676600 141800303 235353200 283600606 470706400 567201212 709001515 1134402424 1418003030 2268804848 2836006060 3545007575 4537609696 5672012120 7090015150 11344024240 14180030300 22688048480 28360060600 56720121200 113440242400