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142002100520 = 235731127912791
BaseRepresentation
bin1000010000111111111…
…1000001100100101000
3111120112101000010100022
42010033333001210220
54311310014204040
6145122421500012
713154641640030
oct2041777014450
9446471003308
10142002100520
115524a535975
1223630271608
13105105c3467
146c314b28c0
153a6189b6b5
hex210ffc1928

142002100520 has 128 divisors (see below), whose sum is σ = 377251430400. Its totient is φ = 47075385600.

The previous prime is 142002100519. The next prime is 142002100543. The reversal of 142002100520 is 25001200241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11095325 + ... + 11108115.

It is an arithmetic number, because the mean of its divisors is an integer number (2947276800).

Almost surely, 2142002100520 is an apocalyptic number.

142002100520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142002100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188625715200).

142002100520 is an abundant number, since it is smaller than the sum of its proper divisors (235249329880).

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

142002100520 is a wasteful number, since it uses less digits than its factorization.

142002100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 142002100520 its reverse (25001200241), we get a palindrome (167003300761).

The spelling of 142002100520 in words is "one hundred forty-two billion, two million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1279 1736 2170 2558 4340 5116 6395 8680 8953 10232 12790 12791 17906 25580 25582 35812 39649 44765 51160 51164 63955 71624 79298 89530 89537 102328 127910 158596 179060 179074 198245 255820 277543 317192 358120 358148 396490 396521 447685 511640 555086 716296 792980 793042 895370 1110172 1387715 1585960 1586084 1790740 1982605 2220344 2775430 2775647 3172168 3581480 3965210 5550860 5551294 7930420 11101720 11102588 13878235 15860840 16359689 22205176 27756470 32719378 55512940 65438756 81798445 111025880 114517823 130877512 163596890 229035646 327193780 458071292 507150359 572589115 654387560 916142584 1014300718 1145178230 2028601436 2290356460 2535751795 3550052513 4057202872 4580712920 5071503590 7100105026 10143007180 14200210052 17750262565 20286014360 28400420104 35500525130 71001050260 142002100520