Search a number
-
+
13643433434631 = 37111334713092991
BaseRepresentation
bin1100011010001001110000…
…0000001101111000000111
31210022022002100000200010210
43012202130000031320013
53242013222424402011
645003412400050503
72605463666506620
oct306423400157007
953268070020123
1013643433434631
114390169543610
121644232303a33
1377c754ac93b0
143524ba868a47
15189d6c64a6a6
hexc689c00de07

13643433434631 has 64 divisors (see below), whose sum is σ = 24494997897216. Its totient is φ = 6523451337600.

The previous prime is 13643433434591. The next prime is 13643433434639.

It is a happy number.

13643433434631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13643433434631 - 223 = 13643425046023 is a prime.

It is a super-2 number, since 2×136434334346312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643433434639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5504455 + ... + 7588536.

It is an arithmetic number, because the mean of its divisors is an integer number (382734342144).

Almost surely, 213643433434631 is an apocalyptic number.

13643433434631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13643433434631 is a deficient number, since it is larger than the sum of its proper divisors (10851564462585).

13643433434631 is a wasteful number, since it uses less digits than its factorization.

13643433434631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093372.

The product of its digits is 6718464, while the sum is 48.

It can be divided in two parts, 1364343 and 3434631, that added together give a palindrome (4798974).

The spelling of 13643433434631 in words is "thirteen trillion, six hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, six hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 347 429 1001 1041 2429 3003 3817 4511 7287 11451 13533 26719 31577 49621 80157 94731 148863 347347 1042041 13092991 39278973 91650937 144022901 170208883 274952811 432068703 510626649 1008160307 1191462181 1872297713 3024480921 3574386543 4543267877 5616893139 13106083991 13629803631 31802875139 39318251973 49975946647 59062482401 95408625417 149927839941 177187447203 349831626529 413437376807 649687306411 1049494879587 1240312130421 1949061919233 4547811144877 13643433434631