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151343513406 = 232192012321991
BaseRepresentation
bin1000110011110011000…
…1101011111100111110
3112110122101112001210100
42030330301223330332
54434422414412111
6153305400421530
713635301431651
oct2147461537476
9473571461710
10151343513406
1159203516708
12253b87778a6
131136ba111c7
147479d9b898
153e0ba17756
hex233cc6bf3e

151343513406 has 48 divisors (see below), whose sum is σ = 345202266240. Its totient is φ = 47788140240.

The previous prime is 151343513401. The next prime is 151343513423. The reversal of 151343513406 is 604315343151.

151343513406 is a `hidden beast` number, since 1 + 5 + 134 + 3 + 513 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151343513401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6871071 + ... + 6893061.

It is an arithmetic number, because the mean of its divisors is an integer number (7191713880).

Almost surely, 2151343513406 is an apocalyptic number.

151343513406 is an abundant number, since it is smaller than the sum of its proper divisors (193858752834).

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

151343513406 is a wasteful number, since it uses less digits than its factorization.

151343513406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42141 (or 42138 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 151343513406 its reverse (604315343151), we get a palindrome (755658856557).

The spelling of 151343513406 in words is "one hundred fifty-one billion, three hundred forty-three million, five hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 20123 21991 40246 43982 60369 65973 120738 131946 181107 197919 362214 382337 395838 417829 764674 835658 1147011 1253487 2294022 2506974 3441033 3760461 6882066 7520922 442524893 885049786 1327574679 2655149358 3982724037 7965448074 8407972967 16815945934 25223918901 50447837802 75671756703 151343513406