Search a number
-
+
13146232102416 = 2432741318095047
BaseRepresentation
bin1011111101001101100001…
…1111101001111000010000
31201112202201112000000100200
42333103120133221320100
53210341440404234131
643543143510015200
72524532613066450
oct277233037517020
951482645000320
1013146232102416
1142093163336a6
1215839b2647500
137448b873037a
143363d11ddd60
1517be6c58c2e6
hexbf4d87e9e10

13146232102416 has 120 divisors (see below), whose sum is σ = 43072614259584. Its totient is φ = 3664454929920.

The previous prime is 13146232102397. The next prime is 13146232102433. The reversal of 13146232102416 is 61420123264131.

13146232102416 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 23 + 210 + 2 + 416 = 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, 159006196 + ... + 159088851.

Almost surely, 213146232102416 is an apocalyptic number.

13146232102416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13146232102416 is an abundant number, since it is smaller than the sum of its proper divisors (29926382157168).

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

13146232102416 is a wasteful number, since it uses less digits than its factorization.

13146232102416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318095109 (or 318095100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13146232102416 its reverse (61420123264131), we get a palindrome (74566355366547).

The spelling of 13146232102416 in words is "thirteen trillion, one hundred forty-six billion, two hundred thirty-two million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 13776 20664 41328 318095047 636190094 954285141 1272380188 1908570282 2226665329 2544760376 2862855423 3817140564 4453330658 5089520752 5725710846 6679995987 7634281128 8906661316 11451421692 13041896927 13359991974 15268562256 17813322632 20039987961 22902843384 26083793854 26719983948 35626645264 39125690781 40079975922 45805686768 52167587708 53439967896 78251381562 80159951844 91293278489 104335175416 106879935792 117377072343 156502763124 160319903688 182586556978 208670350832 234754144686 273879835467 313005526248 320639807376 365173113956 469508289372 547759670934 626011052496 730346227912 821639506401 939016578744 1095519341868 1460692455824 1643279012802 1878033157488 2191038683736 3286558025604 4382077367472 6573116051208 13146232102416