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142302004032 = 2631033171741
BaseRepresentation
bin1000010010000111011…
…1000100001101000000
3111121022021022210121210
42010201313010031000
54312413303112112
6145212253450120
713165243035216
oct2044167041500
9447267283553
10142302004032
1155393853911
12236b47a0940
131055a789366
146c5d25ccb6
153a7cd8bb3c
hex2121dc4340

142302004032 has 56 divisors (see below), whose sum is σ = 376549078752. Its totient is φ = 47428748800.

The previous prime is 142302004003. The next prime is 142302004049. The reversal of 142302004032 is 230400203241.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1947682 + ... + 2019422.

It is an arithmetic number, because the mean of its divisors is an integer number (6724090692).

Almost surely, 2142302004032 is an apocalyptic number.

142302004032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142302004032 is an abundant number, since it is smaller than the sum of its proper divisors (234247074720).

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

142302004032 is a wasteful number, since it uses less digits than its factorization.

142302004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82087 (or 82077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 142302004032 its reverse (230400203241), we get a palindrome (372702207273).

The spelling of 142302004032 in words is "one hundred forty-two billion, three hundred two million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10331 20662 30993 41324 61986 71741 82648 123972 143482 165296 215223 247944 286964 330592 430446 495888 573928 661184 860892 991776 1147856 1721784 1983552 2295712 3443568 4591424 6887136 13774272 741156271 1482312542 2223468813 2964625084 4446937626 5929250168 8893875252 11858500336 17787750504 23717000672 35575501008 47434001344 71151002016 142302004032