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142697000992 = 25713373313127
BaseRepresentation
bin1000010011100101100…
…1110111000000100000
3111122022210120201120211
42010321121313000200
54314220413012432
6145315403543504
713211110331650
oct2047131670040
9448283521524
10142697000992
1155576811987
12237a4b2ab94
13105c1568680
146c998c0360
153aa28b2d47
hex2139677020

142697000992 has 96 divisors (see below), whose sum is σ = 345884781312. Its totient is φ = 56432139264.

The previous prime is 142697000977. The next prime is 142697001017. The reversal of 142697000992 is 299000796241.

It is a super-2 number, since 2×1426970009922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10863933 + ... + 10877059.

It is an arithmetic number, because the mean of its divisors is an integer number (3602966472).

Almost surely, 2142697000992 is an apocalyptic number.

142697000992 is the 238912-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142697000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172942390656).

142697000992 is an abundant number, since it is smaller than the sum of its proper divisors (203187780320).

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

142697000992 is a wasteful number, since it uses less digits than its factorization.

142697000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16890 (or 16882 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 142697000992 in words is "one hundred forty-two billion, six hundred ninety-seven million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3733 7466 13127 14932 26131 26254 29864 48529 52262 52508 59728 91889 97058 104524 105016 119456 170651 183778 194116 209048 210032 339703 341302 367556 388232 418096 420064 679406 682604 735112 776464 836192 1194557 1358812 1365208 1470224 1552928 2389114 2717624 2730416 2940448 4778228 5435248 5460832 9556456 10870496 19112912 38225824 49003091 98006182 196012364 343021637 392024728 637040183 686043274 784049456 1274080366 1372086548 1568098912 2548160732 2744173096 4459281281 5096321464 5488346192 8918562562 10192642928 10976692384 17837125124 20385285856 35674250248 71348500496 142697000992