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132141423440 = 245131923479607
BaseRepresentation
bin111101100010000111…
…1100001101101010000
3110122002011101211100002
41323010033201231100
54131111201022230
6140412133145132
712355405365245
oct1730417415520
9418064354302
10132141423440
115104a430274
1221739a8b1a8
13c5cb7370b0
146577a595cc
153685d5e545
hex1ec43e1b50

132141423440 has 320 divisors, whose sum is σ = 364776652800. Its totient is φ = 44048074752.

The previous prime is 132141423397. The next prime is 132141423467. The reversal of 132141423440 is 44324141231.

It is a super-2 number, since 2×1321414234402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217695617 + ... + 217696223.

It is an arithmetic number, because the mean of its divisors is an integer number (1139927040).

Almost surely, 2132141423440 is an apocalyptic number.

132141423440 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 132141423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182388326400).

132141423440 is an abundant number, since it is smaller than the sum of its proper divisors (232635229360).

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

132141423440 is a wasteful number, since it uses less digits than its factorization.

132141423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 132141423440 its reverse (44324141231), we get a palindrome (176465564671).

The spelling of 132141423440 in words is "one hundred thirty-two billion, one hundred forty-one million, four hundred twenty-three thousand, four hundred forty".