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142564446144 = 263382502573
BaseRepresentation
bin1000010011000110000…
…0001100111111000000
3111121222120011020112000
42010301200030333000
54313432444234034
6145254310504000
713204610540451
oct2046140147700
9447876136460
10142564446144
1155508a0551a
1223768665000
131059cc67053
146c86057128
153a95e2c599
hex213180cfc0

142564446144 has 56 divisors (see below), whose sum is σ = 419113075920. Its totient is φ = 47521481472.

The previous prime is 142564446121. The next prime is 142564446169. The reversal of 142564446144 is 441644465241.

142564446144 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 64 + 446 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142564446144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41249559 + ... + 41253014.

It is an arithmetic number, because the mean of its divisors is an integer number (7484162070).

Almost surely, 2142564446144 is an apocalyptic number.

It is an amenable number.

142564446144 is an abundant number, since it is smaller than the sum of its proper divisors (276548629776).

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

142564446144 is an equidigital number, since it uses as much as digits as its factorization.

142564446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82502594 (or 82502578 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 142564446144 in words is "one hundred forty-two billion, five hundred sixty-four million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 82502573 165005146 247507719 330010292 495015438 660020584 742523157 990030876 1320041168 1485046314 1980061752 2227569471 2640082336 2970092628 3960123504 4455138942 5280164672 5940185256 7920247008 8910277884 11880370512 15840494016 17820555768 23760741024 35641111536 47521482048 71282223072 142564446144