Search a number
-
+
3131640046206 = 233733347248441
BaseRepresentation
bin101101100100100100010…
…010101110001001111110
3102002101022101020111112000
4231210210102232021332
5402302044322434311
610354353334323130
7442152650121210
oct55444422561176
912071271214460
103131640046206
11aa81371898a1
12426b23ab94a6
1319940a41c079
14ab80211c5b0
15566db567056
hex2d9244ae27e

3131640046206 has 64 divisors (see below), whose sum is σ = 7953642063360. Its totient is φ = 894723865920.

The previous prime is 3131640046147. The next prime is 3131640046247. The reversal of 3131640046206 is 6026400461313.

3131640046206 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 6 + 400 + 46 + 206 = 666.

3131640046206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31316400462062 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12480946 + ... + 12729386.

It is an arithmetic number, because the mean of its divisors is an integer number (124275657240).

Almost surely, 23131640046206 is an apocalyptic number.

3131640046206 is an abundant number, since it is smaller than the sum of its proper divisors (4822002017154).

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

3131640046206 is a wasteful number, since it uses less digits than its factorization.

3131640046206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281806 (or 281800 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3131640046206 in words is "three trillion, one hundred thirty-one billion, six hundred forty million, forty-six thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 33347 66694 100041 200082 233429 248441 300123 466858 496882 600246 700287 745323 900369 1400574 1490646 1739087 1800738 2100861 2235969 3478174 4201722 4471938 5217261 6302583 6707907 10434522 12605166 13415814 15651783 31303566 46955349 93910698 8284762027 16569524054 24854286081 49708572162 57993334189 74562858243 115986668378 149125716486 173980002567 223688574729 347960005134 447377149458 521940007701 1043880015402 1565820023103 3131640046206