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132040400144235 = 35112812847846439
BaseRepresentation
bin11110000001011100001101…
…001001011000011101101011
3122022111221100111212002221020
4132001130031021120131223
5114301322214414103420
61144454304502143523
736545414130602562
oct3601341511303553
9568457314762836
10132040400144235
1139088023660370
1212986392a21ba3
13588a482a60c3b
142486b0a41abd9
15103ea1924e340
hex78170d25876b

132040400144235 has 32 divisors (see below), whose sum is σ = 231290696471040. Its totient is φ = 63791760211200.

The previous prime is 132040400144207. The next prime is 132040400144243. The reversal of 132040400144235 is 532441004040231.

It is not a de Polignac number, because 132040400144235 - 28 = 132040400143979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 132040400144196 and 132040400144205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423876855 + ... + 1423969584.

It is an arithmetic number, because the mean of its divisors is an integer number (7227834264720).

Almost surely, 2132040400144235 is an apocalyptic number.

132040400144235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132040400144235 is a deficient number, since it is larger than the sum of its proper divisors (99250296326805).

132040400144235 is a wasteful number, since it uses less digits than its factorization.

132040400144235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847846739.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 132040400144235 its reverse (532441004040231), we get a palindrome (664481404184466).

The spelling of 132040400144235 in words is "one hundred thirty-two trillion, forty billion, four hundred million, one hundred forty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 281 843 1405 3091 4215 9273 15455 46365 2847846439 8543539317 14239232195 31326310829 42717696585 93978932487 156631554145 469894662435 800244849359 2400734548077 4001224246795 8802693342949 12003672740385 26408080028847 44013466714745 132040400144235