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113143435040 = 2552924384361
BaseRepresentation
bin110100101011111011…
…1111100111100100000
3101211001011100000121002
41221113313330330200
53323204204410130
6123551040251132
711113541221046
oct1512767747440
9354034300532
10113143435040
1143a90579409
1219b17610aa8
13a89182213c
145694886396
152e23070b45
hex1a57dfcf20

113143435040 has 48 divisors (see below), whose sum is σ = 276518665080. Its totient is φ = 43696773120.

The previous prime is 113143435007. The next prime is 113143435079. The reversal of 113143435040 is 40534341311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96117360784 + 17026074256 = 310028^2 + 130484^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 113143434994 and 113143435012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12187541 + ... + 12196820.

Almost surely, 2113143435040 is an apocalyptic number.

113143435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113143435040 is an abundant number, since it is smaller than the sum of its proper divisors (163375230040).

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

113143435040 is a wasteful number, since it uses less digits than its factorization.

113143435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24384405 (or 24384397 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 113143435040 its reverse (40534341311), we get a palindrome (153677776351).

The spelling of 113143435040 in words is "one hundred thirteen billion, one hundred forty-three million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 24384361 48768722 97537444 121921805 195074888 243843610 390149776 487687220 707146469 780299552 975374440 1414292938 1950748880 2828585876 3535732345 3901497760 5657171752 7071464690 11314343504 14142929380 22628687008 28285858760 56571717520 113143435040