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150243212432 = 242323910631607
BaseRepresentation
bin1000101111101100110…
…0010111110010010000
3112100210201002222121102
42023323030113302100
54430144230244212
6153004253243532
713566111143255
oct2137314276220
9470721088542
10150243212432
1158799416265
12251501935a8
1311224a86541
1473b3bc142c
153d951225c2
hex22fb317c90

150243212432 has 80 divisors (see below), whose sum is σ = 305500446720. Its totient is φ = 71442999936.

The previous prime is 150243212423. The next prime is 150243212437. The reversal of 150243212432 is 234212342051.

150243212432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150243212395 and 150243212404.

It is not an unprimeable number, because it can be changed into a prime (150243212437) 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, 93492173 + ... + 93493779.

It is an arithmetic number, because the mean of its divisors is an integer number (3818755584).

Almost surely, 2150243212432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150243212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152750223360).

150243212432 is an abundant number, since it is smaller than the sum of its proper divisors (155257234288).

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

150243212432 is a wasteful number, since it uses less digits than its factorization.

150243212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 150243212432 its reverse (234212342051), we get a palindrome (384455554483).

The spelling of 150243212432 in words is "one hundred fifty billion, two hundred forty-three million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 239 368 478 956 1063 1607 1912 2126 3214 3824 4252 5497 6428 8504 10994 12856 17008 21988 24449 25712 36961 43976 48898 73922 87952 97796 147844 195592 254057 295688 384073 391184 508114 591376 768146 1016228 1536292 1708241 2032456 3072584 3416482 4064912 5843311 6145168 6832964 8833679 11686622 13665928 17667358 23373244 27331856 35334716 39289543 46746488 70669432 78579086 93492976 141338864 157158172 314316344 408269599 628632688 816539198 1633078396 3266156792 6532313584 9390200777 18780401554 37560803108 75121606216 150243212432