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132342304380840 = 23345375971263537
BaseRepresentation
bin11110000101110101011000…
…000010101001011110101000
3122100120210121201221101020000
4132011311120002221132220
5114321244014410141330
61145245114301503000
736606262450351401
oct3605653002513650
9570523551841200
10132342304380840
1139194068736824
1212a149a9b71a60
1358aca97247868
14249758a40a9a8
1510477d8ba6560
hex785d580a97a8

132342304380840 has 640 divisors, whose sum is σ = 471127515091200. Its totient is φ = 33279916400640.

The previous prime is 132342304380833. The next prime is 132342304380953. The reversal of 132342304380840 is 48083403243231.

132342304380840 is a `hidden beast` number, since 1 + 3 + 2 + 34 + 230 + 4 + 380 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 502045552 + ... + 502309088.

It is an arithmetic number, because the mean of its divisors is an integer number (736136742330).

Almost surely, 2132342304380840 is an apocalyptic number.

132342304380840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132342304380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235563757545600).

132342304380840 is an abundant number, since it is smaller than the sum of its proper divisors (338785210710360).

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

132342304380840 is a wasteful number, since it uses less digits than its factorization.

132342304380840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263727 (or 263714 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 132342304380840 in words is "one hundred thirty-two trillion, three hundred forty-two billion, three hundred four million, three hundred eighty thousand, eight hundred forty".