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132723315744 = 2534409313571
BaseRepresentation
bin111101110011011101…
…1010001010000100000
3110200120201100000111220
41323212323101100200
54133304132100434
6140550001135040
712406002366255
oct1734673212040
9420521300456
10132723315744
11513189405a8
122188092a480
13c692162976
1465d104b42c
1536bbea1d49
hex1ee6ed1420

132723315744 has 48 divisors (see below), whose sum is σ = 348478835040. Its totient is φ = 44230929920.

The previous prime is 132723315707. The next prime is 132723315757. The reversal of 132723315744 is 447513327231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132723315696 and 132723315705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266479 + ... + 580049.

It is an arithmetic number, because the mean of its divisors is an integer number (7259975730).

Almost surely, 2132723315744 is an apocalyptic number.

It is an amenable number.

132723315744 is an abundant number, since it is smaller than the sum of its proper divisors (215755519296).

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

132723315744 is a wasteful number, since it uses less digits than its factorization.

132723315744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317993 (or 317985 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The spelling of 132723315744 in words is "one hundred thirty-two billion, seven hundred twenty-three million, three hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4409 8818 13227 17636 26454 35272 52908 70544 105816 141088 211632 313571 423264 627142 940713 1254284 1881426 2508568 3762852 5017136 7525704 10034272 15051408 30102816 1382534539 2765069078 4147603617 5530138156 8295207234 11060276312 16590414468 22120552624 33180828936 44241105248 66361657872 132723315744