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150431150413143 = 32597315125700611
BaseRepresentation
bin100010001101000011111011…
…010010001001010101010111
3201201122002002112001002221200
4202031003323102021111113
5124204130444001210033
61251535041053443543
743454202066614415
oct4215037322112527
9651562075032850
10150431150413143
1143a28546749056
1214a56693aa05b3
1365c279a9c1482
142920c9972a2b5
15125d0d5945013
hex88d0fb489557

150431150413143 has 48 divisors (see below), whose sum is σ = 225482777345280. Its totient is φ = 96593172624000.

The previous prime is 150431150413129. The next prime is 150431150413157. The reversal of 150431150413143 is 341314051134051.

It is a happy number.

150431150413143 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 3 + 1 + 1 + 504 + 1 + 3 + 143 = 666.

It is an interprime number because it is at equal distance from previous prime (150431150413129) and next prime (150431150413157).

It is not a de Polignac number, because 150431150413143 - 25 = 150431150413111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150431150413098 and 150431150413107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150431150413343) 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 47 ways as a sum of consecutive naturals, for example, 6997093 + ... + 18703518.

It is an arithmetic number, because the mean of its divisors is an integer number (4697557861360).

Almost surely, 2150431150413143 is an apocalyptic number.

150431150413143 is a deficient number, since it is larger than the sum of its proper divisors (75051626932137).

150431150413143 is a wasteful number, since it uses less digits than its factorization.

150431150413143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25700900 (or 25700897 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 150431150413143 in words is "one hundred fifty trillion, four hundred thirty-one billion, one hundred fifty million, four hundred thirteen thousand, one hundred forty-three".

Divisors: 1 3 9 59 73 151 177 219 453 531 657 1359 4307 8909 11023 12921 26727 33069 38763 80181 99207 650357 1951071 5853213 25700611 77101833 231305499 1516336049 1876144603 3880792261 4549008147 5628433809 11642376783 13647024441 16885301427 34927130349 110692531577 228966743399 283297835053 332077594731 686900230197 849893505159 996232784193 2060700690591 2549680515477 16714572268127 50143716804381 150431150413143