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132400433431440 = 2434538353347691
BaseRepresentation
bin11110000110101011100000…
…110011011000001110010000
3122100210100122212000002220000
4132012223200303120032100
5114323222041424301230
61145331530333050000
736613421111212206
oct3606534063301620
9570710585002800
10132400433431440
1139206787aaa909
1212a24111326900
1358b53cc1a2ca5
14249a3025d9076
15104908c038b60
hex786ae0cd8390

132400433431440 has 200 divisors, whose sum is σ = 461046971962368. Its totient is φ = 35214596778240.

The previous prime is 132400433431433. The next prime is 132400433431463. The reversal of 132400433431440 is 44134334004231.

132400433431440 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 0 + 0 + 4 + 334 + 314 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132400433431395 and 132400433431404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24192006 + ... + 29155685.

Almost surely, 2132400433431440 is an apocalyptic number.

132400433431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132400433431440 is an abundant number, since it is smaller than the sum of its proper divisors (328646538530928).

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

132400433431440 is a wasteful number, since it uses less digits than its factorization.

132400433431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53348099 (or 53348084 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132400433431440 its reverse (44134334004231), we get a palindrome (176534767435671).

The spelling of 132400433431440 in words is "one hundred thirty-two trillion, four hundred billion, four hundred thirty-three million, four hundred thirty-one thousand, four hundred forty".