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132400242421434 = 232131733283117753
BaseRepresentation
bin11110000110101011010101…
…011010101110111010111010
3122100210100011112120210102100
4132012223111122232322322
5114323221144024441214
61145331455351044230
736613413301516551
oct3606532532567272
9570710145523370
10132400242421434
113920669a1a81a9
1212a24079370676
1358b539b745910
14249a2c50b6d98
15104907a3a8309
hex786ad56aeeba

132400242421434 has 48 divisors (see below), whose sum is σ = 327106481286312. Its totient is φ = 38342151650304.

The previous prime is 132400242421397. The next prime is 132400242421457. The reversal of 132400242421434 is 434124242004231.

132400242421434 is a `hidden beast` number, since 1 + 3 + 2 + 400 + 2 + 4 + 2 + 4 + 214 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78564344504409 + 53835897917025 = 8863653^2 + 7337295^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16641554899 + ... + 16641562854.

Almost surely, 2132400242421434 is an apocalyptic number.

132400242421434 is an abundant number, since it is smaller than the sum of its proper divisors (194706238864878).

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

132400242421434 is a wasteful number, since it uses less digits than its factorization.

132400242421434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33283117791 (or 33283117788 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 132400242421434 its reverse (434124242004231), we get a palindrome (566524484425665).

The spelling of 132400242421434 in words is "one hundred thirty-two trillion, four hundred billion, two hundred forty-two million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 33283117753 66566235506 99849353259 199698706518 299548059777 432680530789 565813001801 599096119554 865361061578 1131626003602 1298041592367 1697439005403 2596083184734 3394878010806 3894124777101 5092317016209 7355569023413 7788249554202 10184634032418 14711138046826 22066707070239 44133414140478 66200121210717 132400242421434