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150909143040 = 21135560647
BaseRepresentation
bin1000110010001011100…
…0101100100000000000
3112102112010011202200000
42030202320230200000
54433030220034130
6153154322400000
713621445360025
oct2144270544000
9472463152600
10150909143040
1159000305837
12252b7200000
13112cca27616
14743840b54c
153dd3815260
hex2322e2c800

150909143040 has 288 divisors, whose sum is σ = 542404175040. Its totient is φ = 40241774592.

The previous prime is 150909143029. The next prime is 150909143041. The reversal of 150909143040 is 40341909051.

It is a happy number.

150909143040 is a `hidden beast` number, since 1 + 50 + 90 + 91 + 430 + 4 + 0 = 666.

150909143040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150909142986 and 150909143004.

It is not an unprimeable number, because it can be changed into a prime (150909143041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2457997 + ... + 2518643.

It is an arithmetic number, because the mean of its divisors is an integer number (1883347830).

Almost surely, 2150909143040 is an apocalyptic number.

150909143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150909143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271202087520).

150909143040 is an abundant number, since it is smaller than the sum of its proper divisors (391495032000).

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

150909143040 is an frugal number, since it uses more digits than its factorization.

150909143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60689 (or 60657 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 150909143040 in words is "one hundred fifty billion, nine hundred nine million, one hundred forty-three thousand, forty".