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142006644 = 2232132171373
BaseRepresentation
bin10000111011011…
…01100101110100
3100220012200111100
420131231211310
5242323203034
622031410100
73343015353
oct1035554564
9326180440
10142006644
117318276a
123b683930
1323560800
1414c0799a
15c701099
hex876d974

142006644 has 108 divisors (see below), whose sum is σ = 411861996. Its totient is φ = 41094144.

The previous prime is 142006633. The next prime is 142006679. The reversal of 142006644 is 446600241.

142006644 is a `hidden beast` number, since 14 + 2 + 0 + 0 + 6 + 644 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1299600 + 140707044 = 1140^2 + 11862^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102742 + ... + 104114.

It is an arithmetic number, because the mean of its divisors is an integer number (3813537).

Almost surely, 2142006644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142006644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205930998).

142006644 is an abundant number, since it is smaller than the sum of its proper divisors (269855352).

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

142006644 is a wasteful number, since it uses less digits than its factorization.

142006644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142006644 is about 11916.6540605994. The cubic root of 142006644 is about 521.7184812226.

Adding to 142006644 its reverse (446600241), we get a palindrome (588606885).

The spelling of 142006644 in words is "one hundred forty-two million, six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 442 468 507 612 663 676 884 1014 1326 1373 1521 1989 2028 2652 2746 2873 3042 3978 4119 5492 5746 6084 7956 8238 8619 11492 12357 16476 17238 17849 23341 24714 25857 34476 35698 46682 49428 51714 53547 70023 71396 93364 103428 107094 140046 160641 210069 214188 232037 280092 303433 321282 420138 464074 606866 642564 696111 840276 910299 928148 1213732 1392222 1820598 2088333 2730897 2784444 3641196 3944629 4176666 5461794 7889258 8353332 10923588 11833887 15778516 23667774 35501661 47335548 71003322 142006644