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150244431414 = 237211163421677
BaseRepresentation
bin1000101111101101000…
…1000001011000110110
3112100210210101220201220
42023323101001120312
54430200033301124
6153004335331210
713566124411200
oct2137321013066
9470723356656
10150244431414
115879a079090
1225150680b06
13112250c232c
1473b401b770
153d952b3879
hex22fb441636

150244431414 has 192 divisors, whose sum is σ = 385144180992. Its totient is φ = 38635833600.

The previous prime is 150244431401. The next prime is 150244431419. The reversal of 150244431414 is 414134442051.

150244431414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150244431419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221926444 + ... + 221927120.

It is an arithmetic number, because the mean of its divisors is an integer number (2005959276).

Almost surely, 2150244431414 is an apocalyptic number.

150244431414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150244431414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572090496).

150244431414 is an abundant number, since it is smaller than the sum of its proper divisors (234899749578).

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

150244431414 is a wasteful number, since it uses less digits than its factorization.

150244431414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 150244431414 its reverse (414134442051), we get a palindrome (564378873465).

The spelling of 150244431414 in words is "one hundred fifty billion, two hundred forty-four million, four hundred thirty-one thousand, four hundred fourteen".