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142135284400 = 2452409986689
BaseRepresentation
bin1000010001011111101…
…1000101001010110000
3111120212122121120021121
42010113323011022300
54312043113100100
6145143540232024
713161146661154
oct2042773051260
9446778546247
10142135284400
115530873199a
122366899b614
13105320851a5
146c45061064
153a6d40851a
hex2117ec52b0

142135284400 has 60 divisors (see below), whose sum is σ = 341567269000. Its totient is φ = 56839587840.

The previous prime is 142135284391. The next prime is 142135284409. The reversal of 142135284400 is 4482531241.

It is an interprime number because it is at equal distance from previous prime (142135284391) and next prime (142135284409).

It is not an unprimeable number, because it can be changed into a prime (142135284409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596256 + ... + 1682944.

Almost surely, 2142135284400 is an apocalyptic number.

142135284400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142135284400 is an abundant number, since it is smaller than the sum of its proper divisors (199431984600).

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

142135284400 is a wasteful number, since it uses less digits than its factorization.

142135284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90806 (or 90795 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 142135284400 in words is "one hundred forty-two billion, one hundred thirty-five million, two hundred eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4099 8198 16396 20495 32792 40990 65584 81980 86689 102475 163960 173378 204950 327920 346756 409900 433445 693512 819800 866890 1387024 1639600 1733780 2167225 3467560 4334450 6935120 8668900 17337800 34675600 355338211 710676422 1421352844 1776691055 2842705688 3553382110 5685411376 7106764220 8883455275 14213528440 17766910550 28427056880 35533821100 71067642200 142135284400