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142035981264 = 2432986360981
BaseRepresentation
bin1000010001001000000…
…0010001001111010000
3111120121201202102222200
42010102000101033100
54311342202400024
6145130032003200
713155532630512
oct2042200211720
9446551672880
10142035981264
1155267676a91
122363b690500
1310517626938
146c35bb1bb2
153a648402c9
hex21120113d0

142035981264 has 30 divisors (see below), whose sum is σ = 397503475746. Its totient is φ = 47345327040.

The previous prime is 142035981251. The next prime is 142035981287. The reversal of 142035981264 is 462189530241.

142035981264 is a `hidden beast` number, since 1 + 42 + 0 + 3 + 598 + 12 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128651342400 + 13384638864 = 358680^2 + 115692^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 493180347 + ... + 493180634.

Almost surely, 2142035981264 is an apocalyptic number.

It is an amenable number.

142035981264 is an abundant number, since it is smaller than the sum of its proper divisors (255467494482).

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

142035981264 is a wasteful number, since it uses less digits than its factorization.

142035981264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986360995 (or 986360986 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 142035981264 in words is "one hundred forty-two billion, thirty-five million, nine hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 986360981 1972721962 2959082943 3945443924 5918165886 7890887848 8877248829 11836331772 15781775696 17754497658 23672663544 35508995316 47345327088 71017990632 142035981264