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133423433412304 = 2472992917139989
BaseRepresentation
bin11110010101100100010000…
…010110100110111011010000
3122111102011012110221121201011
4132111210100112212323100
5114442002142423143204
61151433513521020304
740050345026451100
oct3625442026467320
9574364173847634
10133423433412304
1139570618901852
1212b6a431a84694
13595aa11522059
1424d3a2b527200
1510659b2aa9304
hex7959105a6ed0

133423433412304 has 60 divisors (see below), whose sum is σ = 300743577936900. Its totient is φ = 57175709090304.

The previous prime is 133423433412289. The next prime is 133423433412319. The reversal of 133423433412304 is 403214334324331.

It is an interprime number because it is at equal distance from previous prime (133423433412289) and next prime (133423433412319).

It can be written as a sum of positive squares in 2 ways, for example, as 51768715722304 + 81654717690000 = 7195048^2 + 9036300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785659 + ... + 16354330.

It is an arithmetic number, because the mean of its divisors is an integer number (5012392965615).

Almost surely, 2133423433412304 is an apocalyptic number.

133423433412304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133423433412304 is an abundant number, since it is smaller than the sum of its proper divisors (167320144524596).

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

133423433412304 is a wasteful number, since it uses less digits than its factorization.

133423433412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17149940 (or 17149927 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 133423433412304 its reverse (403214334324331), we get a palindrome (536637767736635).

The spelling of 133423433412304 in words is "one hundred thirty-three trillion, four hundred twenty-three billion, four hundred thirty-three million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 9929 19858 39716 69503 79432 139006 158864 278012 486521 556024 973042 1112048 1946084 3892168 7784336 17139989 34279978 68559956 119979923 137119912 239959846 274239824 479919692 839859461 959839384 1679718922 1919678768 3359437844 6718875688 13437751376 170182950781 340365901562 680731803124 1191280655467 1361463606248 2382561310934 2722927212496 4765122621868 8338964588269 9530245243736 16677929176538 19060490487472 33355858353076 66711716706152 133423433412304