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132115410944 = 2121119315193
BaseRepresentation
bin111101100001010110…
…0010011000000000000
3110122000100110020220022
41323002230103000000
54131033021122234
6140405403433012
712354641315126
oct1730254230000
9418010406808
10132115410944
1151036783740
1221731225768
13c5c622a09a
146574407916
153683921e2e
hex1ec2b13000

132115410944 has 104 divisors (see below), whose sum is σ = 289729037712. Its totient is φ = 59737374720.

The previous prime is 132115410943. The next prime is 132115410989. The reversal of 132115410944 is 449014511231.

It is a super-2 number, since 2×1321154109442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132115410941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8688212 + ... + 8703404.

Almost surely, 2132115410944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144864518856).

132115410944 is an abundant number, since it is smaller than the sum of its proper divisors (157613626768).

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

132115410944 is a wasteful number, since it uses less digits than its factorization.

132115410944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 132115410944 in words is "one hundred thirty-two billion, one hundred fifteen million, four hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 512 704 772 1024 1408 1544 2048 2123 2816 3088 4096 4246 5632 6176 8492 11264 12352 15193 16984 22528 24704 30386 33968 45056 49408 60772 67936 98816 121544 135872 167123 197632 243088 271744 334246 395264 486176 543488 668492 790528 972352 1086976 1336984 1944704 2173952 2673968 2932249 3889408 4347904 5347936 5864498 7778816 8695808 10695872 11728996 15557632 21391744 23457992 31115264 32254739 42783488 46915984 62230528 64509478 85566976 93831968 129018956 171133952 187663936 258037912 342267904 375327872 516075824 684535808 750655744 1032151648 1501311488 2064303296 3002622976 4128606592 6005245952 8257213184 12010491904 16514426368 33028852736 66057705472 132115410944