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132132075440 = 2451986928997
BaseRepresentation
bin111101100001110101…
…1110111011110110000
3110122001111210220021212
41323003223313132300
54131101302403230
6140411200535252
712355233052511
oct1730353673660
9418044726255
10132132075440
1151045125a52
1221736921528
13c5c9813231
146576704a08
153685114895
hex1ec3af77b0

132132075440 has 40 divisors (see below), whose sum is σ = 323375872560. Its totient is φ = 50071101696.

The previous prime is 132132075367. The next prime is 132132075451. The reversal of 132132075440 is 44570231231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 132132075397 and 132132075406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43462979 + ... + 43466018.

It is an arithmetic number, because the mean of its divisors is an integer number (8084396814).

Almost surely, 2132132075440 is an apocalyptic number.

132132075440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132075440 is an abundant number, since it is smaller than the sum of its proper divisors (191243797120).

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

132132075440 is a wasteful number, since it uses less digits than its factorization.

132132075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86929029 (or 86929023 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 132132075440 in words is "one hundred thirty-two billion, one hundred thirty-two million, seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 86928997 173857994 347715988 434644985 695431976 869289970 1390863952 1651650943 1738579940 3303301886 3477159880 6606603772 6954319760 8258254715 13213207544 16516509430 26426415088 33033018860 66066037720 132132075440