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1312145440 = 25559913691
BaseRepresentation
bin100111000110101…
…1100000000100000
310101110000220011021
41032031130000200
510141402123230
6334111455224
744342023624
oct11615340040
93343026137
101312145440
11613743321
12307527514
1317bacb228
14c63a3184
157a2ddc7a
hex4e35c020

1312145440 has 48 divisors (see below), whose sum is σ = 3105345600. Its totient is φ = 523943680.

The previous prime is 1312145431. The next prime is 1312145479. The reversal of 1312145440 is 445412131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88995 + ... + 102685.

It is an arithmetic number, because the mean of its divisors is an integer number (64694700).

Almost surely, 21312145440 is an apocalyptic number.

1312145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312145440 is an abundant number, since it is smaller than the sum of its proper divisors (1793200160).

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

1312145440 is a wasteful number, since it uses less digits than its factorization.

1312145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1312145440 is about 36223.5481420581. The cubic root of 1312145440 is about 1094.7811854702.

Adding to 1312145440 its reverse (445412131), we get a palindrome (1757557571).

The spelling of 1312145440 in words is "one billion, three hundred twelve million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 599 1198 2396 2995 4792 5990 9584 11980 13691 19168 23960 27382 47920 54764 68455 95840 109528 136910 219056 273820 438112 547640 1095280 2190560 8200909 16401818 32803636 41004545 65607272 82009090 131214544 164018180 262429088 328036360 656072720 1312145440