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150053544414 = 236234143963
BaseRepresentation
bin1000101110111111100…
…0110110000111011110
3112100022111012212000000
42023233320312013132
54424302201410124
6152533400115130
713561316040264
oct2135770660736
9470274185000
10150053544414
115870134a934
12250b8765aa6
13111c46a8c47
14739692c434
153d836596c9
hex22efe361de

150053544414 has 56 divisors (see below), whose sum is σ = 337617932952. Its totient is φ = 49995344880.

The previous prime is 150053544353. The next prime is 150053544439. The reversal of 150053544414 is 414445350051.

150053544414 is a `hidden beast` number, since 1 + 50 + 0 + 53 + 544 + 4 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 3391197 + ... + 3435159.

Almost surely, 2150053544414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150053544414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168808966476).

150053544414 is an abundant number, since it is smaller than the sum of its proper divisors (187564388538).

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

150053544414 is an equidigital number, since it uses as much as digits as its factorization.

150053544414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46324 (or 46309 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 150053544414 its reverse (414445350051), we get a palindrome (564498894465).

The spelling of 150053544414 in words is "one hundred fifty billion, fifty-three million, five hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2341 4682 7023 14046 21069 42138 43963 63207 87926 126414 131889 189621 263778 379242 395667 568863 791334 1137726 1187001 1706589 2374002 3413178 3561003 7122006 10683009 21366018 32049027 64098054 102917383 205834766 308752149 617504298 926256447 1852512894 2778769341 5557538682 8336308023 16672616046 25008924069 50017848138 75026772207 150053544414