Search a number
-
+
133331405333512 = 23281122956538537
BaseRepresentation
bin11110010100001110100011…
…000011010110010000001000
3122111002100122212212211111111
4132110032203003112100020
5114434000204231133022
61151323334011540104
740040606342625301
oct3624164303262010
9574070585784444
10133331405333512
1139535593406091
1212b54629a5a634
1359521364a4069
1424cd3bb1417a8
1510633c8670477
hex7943a30d6408

133331405333512 has 64 divisors (see below), whose sum is σ = 251164024570800. Its totient is φ = 66354892369920.

The previous prime is 133331405333479. The next prime is 133331405333519. The reversal of 133331405333512 is 215333504133331.

It can be written as a sum of positive squares in 8 ways, for example, as 133319029660996 + 12375672516 = 11546386^2 + 111246^2 .

It is not an unprimeable number, because it can be changed into a prime (133331405333519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15618058908 + ... + 15618067444.

Almost surely, 2133331405333512 is an apocalyptic number.

It is an amenable number.

133331405333512 is a deficient number, since it is larger than the sum of its proper divisors (117832619237288).

133331405333512 is a wasteful number, since it uses less digits than its factorization.

133331405333512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15706 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 40.

Adding to 133331405333512 its reverse (215333504133331), we get a palindrome (348664909466843).

The spelling of 133331405333512 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, four hundred five million, three hundred thirty-three thousand, five hundred twelve".

Divisors: 1 2 4 8 281 562 1124 1229 2248 2458 4916 5653 8537 9832 11306 17074 22612 34148 45224 68296 345349 690698 1381396 1588493 2398897 2762792 3176986 4797794 6353972 6947537 9595588 10491973 12707944 13895074 19191176 20983946 27790148 41967892 48259661 55580296 83935784 96519322 193038644 386077288 1952257897 2948244413 3904515794 5896488826 7809031588 11792977652 13560964741 15618063176 23585955304 27121929482 54243858964 59311123369 108487717928 118622246738 237244493476 474488986952 16666425666689 33332851333378 66665702666756 133331405333512