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132312315040 = 2554211196379
BaseRepresentation
bin111101100111001101…
…1011011010010100000
3110122112001222000112121
41323032123123102200
54131433423040130
6140441120034024
712362552056423
oct1731633332240
9418461860477
10132312315040
11511279416a4
1221787162914
13c627c6c199
1465926219ba
153695d68d7a
hex1ece6db4a0

132312315040 has 48 divisors (see below), whose sum is σ = 312663667680. Its totient is φ = 52912088320.

The previous prime is 132312314989. The next prime is 132312315061. The reversal of 132312315040 is 40513213231.

It is a happy number.

It is a super-3 number, since 3×1323123150403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132312314996 and 132312315014.

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, 575571 + ... + 771949.

It is an arithmetic number, because the mean of its divisors is an integer number (6513826410).

Almost surely, 2132312315040 is an apocalyptic number.

132312315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312315040 is an abundant number, since it is smaller than the sum of its proper divisors (180351352640).

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

132312315040 is a wasteful number, since it uses less digits than its factorization.

132312315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200605 (or 200597 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 132312315040 its reverse (40513213231), we get a palindrome (172825528271).

The spelling of 132312315040 in words is "one hundred thirty-two billion, three hundred twelve million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4211 8422 16844 21055 33688 42110 67376 84220 134752 168440 196379 336880 392758 673760 785516 981895 1571032 1963790 3142064 3927580 6284128 7855160 15710320 31420640 826951969 1653903938 3307807876 4134759845 6615615752 8269519690 13231231504 16539039380 26462463008 33078078760 66156157520 132312315040