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132314012440 = 23571283164627
BaseRepresentation
bin111101100111010000…
…1111001101100011000
3110122112012011020221021
41323032201321230120
54131434341344230
6140441220252224
712362602356211
oct1731641715430
9418465136837
10132314012440
11511288a0a05
1221787841074
13c62841496c
146592944408
1536960a1c7a
hex1ece879b18

132314012440 has 64 divisors (see below), whose sum is σ = 302968200960. Its totient is φ = 51995475840.

The previous prime is 132314012329. The next prime is 132314012459. The reversal of 132314012440 is 44210413231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721407 + ... + 886033.

It is an arithmetic number, because the mean of its divisors is an integer number (4733878140).

Almost surely, 2132314012440 is an apocalyptic number.

132314012440 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 132314012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484100480).

132314012440 is an abundant number, since it is smaller than the sum of its proper divisors (170654188520).

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

132314012440 is a wasteful number, since it uses less digits than its factorization.

132314012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164992 (or 164988 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 132314012440 its reverse (44210413231), we get a palindrome (176524425671).

The spelling of 132314012440 in words is "one hundred thirty-two billion, three hundred fourteen million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 283 284 355 566 568 710 1132 1415 1420 2264 2830 2840 5660 11320 20093 40186 80372 100465 160744 164627 200930 329254 401860 658508 803720 823135 1317016 1646270 3292540 6585080 11688517 23377034 46589441 46754068 58442585 93178882 93508136 116885170 186357764 232947205 233770340 372715528 465894410 467540680 931788820 1863577640 3307850311 6615700622 13231401244 16539251555 26462802488 33078503110 66157006220 132314012440