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142069745682 = 232314318132713
BaseRepresentation
bin1000010001010000000…
…1000100100000010010
3111120201002021212001200
42010110001010200102
54311424323330212
6145133235412030
713156422625164
oct2042401044022
9446632255050
10142069745682
1155284738767
122364aa54016
1310521619197
146c3a480934
153a677ae6dc
hex2114044812

142069745682 has 96 divisors (see below), whose sum is σ = 326943192576. Its totient is φ = 44514489600.

The previous prime is 142069745681. The next prime is 142069745711. The reversal of 142069745682 is 286547960241.

142069745682 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 9 + 74 + 568 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (142069745681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326558 + ... + 4359270.

It is an arithmetic number, because the mean of its divisors is an integer number (3405658256).

Almost surely, 2142069745682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142069745682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163471596288).

142069745682 is an abundant number, since it is smaller than the sum of its proper divisors (184873446894).

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

142069745682 is a wasteful number, since it uses less digits than its factorization.

142069745682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32976 (or 32973 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 142069745682 in words is "one hundred forty-two billion, sixty-nine million, seven hundred forty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 181 186 258 279 362 387 543 558 774 1086 1333 1629 2666 3258 3999 5611 7783 7998 11222 11997 15566 16833 23349 23994 32713 33666 46698 50499 65426 70047 98139 100998 140094 196278 241273 294417 482546 588834 723819 1014103 1406659 1447638 2028206 2171457 2813318 3042309 4219977 4342914 5921053 6084618 8439954 9126927 11842106 12659931 17763159 18253854 25319862 35526318 43606429 53289477 87212858 106578954 130819287 183552643 254605279 261638574 367105286 392457861 509210558 550657929 763815837 784915722 1101315858 1527631674 1651973787 2291447511 3303947574 4582895022 7892763649 15785527298 23678290947 47356581894 71034872841 142069745682