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132710941440 = 28325721122967
BaseRepresentation
bin111101110011000110…
…0000100001100000000
3110200112212001100011100
41323212030010030000
54133243000111230
6140544440014400
712405462250500
oct1734614041400
9420485040140
10132710941440
1151311959600
1221878761400
13c68c71c4ac
1465cd549a00
1536bad5a660
hex1ee6304300

132710941440 has 1944 divisors, whose sum is σ = 616413535920. Its totient is φ = 26227998720.

The previous prime is 132710941427. The next prime is 132710941463. The reversal of 132710941440 is 44149017231.

132710941440 is a `hidden beast` number, since 132 + 7 + 109 + 414 + 4 + 0 = 666.

It is a super-2 number, since 2×1327109414402 (a number of 23 digits) contains 22 as substring.

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 = 132710941395 and 132710941404.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1980760287 + ... + 1980760353.

Almost surely, 2132710941440 is an apocalyptic number.

132710941440 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 132710941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206767960).

132710941440 is an abundant number, since it is smaller than the sum of its proper divisors (483702594480).

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

132710941440 is a wasteful number, since it uses less digits than its factorization.

132710941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 132710941440 its reverse (44149017231), we get a palindrome (176859958671).

The spelling of 132710941440 in words is "one hundred thirty-two billion, seven hundred ten million, nine hundred forty-one thousand, four hundred forty".