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10142436301332 = 2233722843325003
BaseRepresentation
bin1001001110010111100001…
…0100000001101000010100
31022220121101211021001201020
42103211320110001220110
52312133202143120312
633323212041201140
72064524012052036
oct223457024015024
938817354231636
1010142436301332
113260423974435
1211798094901b0
135875736a632a
14270c7a149c56
15128c649ab78c
hex93978501a14

10142436301332 has 24 divisors (see below), whose sum is σ = 24305297804256. Its totient is φ = 3289438800288.

The previous prime is 10142436301321. The next prime is 10142436301339. The reversal of 10142436301332 is 23310363424101.

It is a junction number, because it is equal to n+sod(n) for n = 10142436301293 and 10142436301302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142436301339) 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 7 ways as a sum of consecutive naturals, for example, 11421662058 + ... + 11421662945.

It is an arithmetic number, because the mean of its divisors is an integer number (1012720741844).

Almost surely, 210142436301332 is an apocalyptic number.

10142436301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142436301332 is an abundant number, since it is smaller than the sum of its proper divisors (14162861502924).

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

10142436301332 is a wasteful number, since it uses less digits than its factorization.

10142436301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22843325047 (or 22843325045 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 10142436301332 its reverse (23310363424101), we get a palindrome (33452799725433).

The spelling of 10142436301332 in words is "ten trillion, one hundred forty-two billion, four hundred thirty-six million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 22843325003 45686650006 68529975009 91373300012 137059950018 274119900036 845203025111 1690406050222 2535609075333 3380812100444 5071218150666 10142436301332