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132314242440 = 23357431484009
BaseRepresentation
bin111101100111010001…
…0110001110110001000
3110122112012120221102210
41323032202301312020
54131434421224230
6140441225225120
712362604334602
oct1731642616610
9418465527383
10132314242440
1151128a38796
12217879321a0
13c628495563
1465929a4172
1536960e9eb0
hex1ece8b1d88

132314242440 has 64 divisors (see below), whose sum is σ = 397477238400. Its totient is φ = 35236285952.

The previous prime is 132314242429. The next prime is 132314242447. The reversal of 132314242440 is 44242413231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132314242398 and 132314242407.

It is not an unprimeable number, because it can be changed into a prime (132314242447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652845 + ... + 831164.

It is an arithmetic number, because the mean of its divisors is an integer number (6210581850).

Almost surely, 2132314242440 is an apocalyptic number.

132314242440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132314242440 is an abundant number, since it is smaller than the sum of its proper divisors (265162995960).

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

132314242440 is a wasteful number, since it uses less digits than its factorization.

132314242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484766 (or 1484762 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 132314242440 its reverse (44242413231), we get a palindrome (176556655671).

The spelling of 132314242440 in words is "one hundred thirty-two billion, three hundred fourteen million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 14860 17832 22290 29720 44580 89160 1484009 2968018 4452027 5936036 7420045 8904054 11872072 14840090 17808108 22260135 29680180 35616216 44520270 59360360 89040540 178081080 1102618687 2205237374 3307856061 4410474748 5513093435 6615712122 8820949496 11026186870 13231424244 16539280305 22052373740 26462848488 33078560610 44104747480 66157121220 132314242440