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142606931724 = 22343122676263
BaseRepresentation
bin1000010011010000001…
…0010001011100001100
3111122002112002201210000
42010310002101130030
54314024333303344
6145302425244300
713205634630225
oct2046402213414
9448075081700
10142606931724
115552a993574
122377a933690
13105a89c104a
146c8b95624c
153a99a20a69
hex213409170c

142606931724 has 120 divisors (see below), whose sum is σ = 385059806208. Its totient is φ = 45974602080.

The previous prime is 142606931723. The next prime is 142606931729. The reversal of 142606931724 is 427139606241.

142606931724 is a `hidden beast` number, since 1 + 4 + 2 + 606 + 9 + 3 + 17 + 24 = 666.

It is a super-2 number, since 2×1426069317242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142606931724.

It is not an unprimeable number, because it can be changed into a prime (142606931723) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 22766617 + ... + 22772879.

Almost surely, 2142606931724 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 142606931724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192529903104).

142606931724 is an abundant number, since it is smaller than the sum of its proper divisors (242452874484).

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

142606931724 is a wasteful number, since it uses less digits than its factorization.

142606931724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 142606931724 in words is "one hundred forty-two billion, six hundred six million, nine hundred thirty-one thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2267 2511 3348 4534 5022 6263 6801 9068 10044 12526 13602 18789 20403 25052 27204 37578 40806 56367 61209 70277 75156 81612 112734 122418 140554 169101 183627 194153 210831 225468 244836 281108 338202 367254 388306 421662 507303 582459 632493 676404 734508 776612 843324 1014606 1164918 1264986 1747377 1897479 2029212 2329836 2529972 3494754 3794958 5242131 5692437 6989508 7589916 10484262 11384874 14198221 15726393 20968524 22769748 28396442 31452786 42594663 56792884 62905572 85189326 127783989 170378652 255567978 383351967 440144851 511135956 766703934 880289702 1150055901 1320434553 1533407868 1760579404 2300111802 2640869106 3961303659 4600223604 5281738212 7922607318 11883910977 15845214636 23767821954 35651732931 47535643908 71303465862 142606931724