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7142994960 = 243529762479
BaseRepresentation
bin1101010011100000…
…10111010000010000
3200102210210201222220
412221300113100100
5104112101314320
63140443101040
7342003312123
oct65160272020
920383721886
107142994960
113036041922
121474211780
1389ab2154a
144ba9403ba
152bc162e40
hex1a9c17410

7142994960 has 40 divisors (see below), whose sum is σ = 22143285120. Its totient is φ = 1904798592.

The previous prime is 7142994899. The next prime is 7142994961. The reversal of 7142994960 is 694992417.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7142994961) 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, 14881000 + ... + 14881479.

It is an arithmetic number, because the mean of its divisors is an integer number (553582128).

Almost surely, 27142994960 is an apocalyptic number.

It is an amenable number.

7142994960 is an abundant number, since it is smaller than the sum of its proper divisors (15000290160).

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

7142994960 is a wasteful number, since it uses less digits than its factorization.

7142994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29762495 (or 29762489 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 7142994960 is about 84516.2408061315. The cubic root of 7142994960 is about 1925.8691715582.

The spelling of 7142994960 in words is "seven billion, one hundred forty-two million, nine hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 29762479 59524958 89287437 119049916 148812395 178574874 238099832 297624790 357149748 446437185 476199664 595249580 714299496 892874370 1190499160 1428598992 1785748740 2380998320 3571497480 7142994960