Search a number
-
+
13142621070 = 23252922372251
BaseRepresentation
bin11000011110101110…
…00111101110001110
31020220221011022210100
430033113013232032
5203404002333240
610012043551530
7643454302335
oct141727075616
936827138710
1013142621070
115634737807
12266952b5a6
131315ab9077
148c9692d1c
1551dc24e30
hex30f5c7b8e

13142621070 has 96 divisors (see below), whose sum is σ = 35380631520. Its totient is φ = 3380832000.

The previous prime is 13142621047. The next prime is 13142621071. The reversal of 13142621070 is 7012624131.

13142621070 is a `hidden beast` number, since 1 + 31 + 4 + 2 + 621 + 0 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142621071) 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, 5837445 + ... + 5839695.

It is an arithmetic number, because the mean of its divisors is an integer number (368548245).

Almost surely, 213142621070 is an apocalyptic number.

13142621070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142621070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690315760).

13142621070 is an abundant number, since it is smaller than the sum of its proper divisors (22238010450).

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

13142621070 is a wasteful number, since it uses less digits than its factorization.

13142621070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13142621070 in words is "thirteen billion, one hundred forty-two million, six hundred twenty-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2237 2251 2610 4474 4502 6711 6753 11185 11255 13422 13506 20133 20259 22370 22510 33555 33765 40266 40518 64873 65279 67110 67530 100665 101295 129746 130558 194619 195837 201330 202590 324365 326395 389238 391674 583857 587511 648730 652790 973095 979185 1167714 1175022 1946190 1958370 2919285 2937555 5035487 5838570 5875110 10070974 15106461 25177435 30212922 45319383 50354870 75532305 90638766 146029123 151064610 226596915 292058246 438087369 453193830 730145615 876174738 1314262107 1460291230 2190436845 2628524214 4380873690 6571310535 13142621070