Search a number
-
+
5142521352420 = 2232590731498967
BaseRepresentation
bin100101011010101011000…
…1010001001000011100100
3200012121202011011222110100
41022311112022021003210
51133223340431234140
614534235223424100
71040351321161134
oct112652612110344
920177664158410
105142521352420
111702a27269031
126b07a3bb5030
132b3c2612056a
1413ac83bc2ac4
158db7e98a530
hex4ad562890e4

5142521352420 has 72 divisors (see below), whose sum is σ = 15616180367424. Its totient is φ = 1369827033408.

The previous prime is 5142521352403. The next prime is 5142521352443. The reversal of 5142521352420 is 242531252415.

5142521352420 is a `hidden beast` number, since 5 + 1 + 42 + 521 + 3 + 52 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15586224 + ... + 15912743.

It is an arithmetic number, because the mean of its divisors is an integer number (216891393992).

Almost surely, 25142521352420 is an apocalyptic number.

It is an amenable number.

5142521352420 is an abundant number, since it is smaller than the sum of its proper divisors (10473659015004).

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

5142521352420 is a wasteful number, since it uses less digits than its factorization.

5142521352420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31499889 (or 31499884 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 5142521352420 in words is "five trillion, one hundred forty-two billion, five hundred twenty-one million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 907 1814 2721 3628 4535 5442 8163 9070 10884 13605 16326 18140 27210 32652 40815 54420 81630 163260 31498967 62997934 94496901 125995868 157494835 188993802 283490703 314989670 377987604 472484505 566981406 629979340 944969010 1133962812 1417453515 1889938020 2834907030 5669814060 28569563069 57139126138 85708689207 114278252276 142847815345 171417378414 257126067621 285695630690 342834756828 428543446035 514252135242 571391261380 857086892070 1028504270484 1285630338105 1714173784140 2571260676210 5142521352420