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142306440 = 23353732051
BaseRepresentation
bin10000111101101…
…10110010001000
3100220202220201220
420132312302020
5242412301230
622042042040
73345404403
oct1036666210
9326686656
10142306440
1173367a31
123b7a9320
13236370c3
1414c84d3a
15c75ed10
hex87b6c88

142306440 has 64 divisors (see below), whose sum is σ = 438471360. Its totient is φ = 36921600.

The previous prime is 142306429. The next prime is 142306453. The reversal of 142306440 is 44603241.

It is a super-2 number, since 2×1423064402 = 40502245730947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142306440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11586 + ... + 20465.

It is an arithmetic number, because the mean of its divisors is an integer number (6851115).

Almost surely, 2142306440 is an apocalyptic number.

142306440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142306440 is an abundant number, since it is smaller than the sum of its proper divisors (296164920).

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

142306440 is a wasteful number, since it uses less digits than its factorization.

142306440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32102 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 142306440 is about 11929.2262951124. The cubic root of 142306440 is about 522.0853635297.

Adding to 142306440 its reverse (44603241), we get a palindrome (186909681).

The spelling of 142306440 in words is "one hundred forty-two million, three hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 32051 64102 96153 128204 160255 192306 256408 320510 384612 480765 641020 769224 961530 1185887 1282040 1923060 2371774 3557661 3846120 4743548 5929435 7115322 9487096 11858870 14230644 17788305 23717740 28461288 35576610 47435480 71153220 142306440