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149953395240 = 23325111916312227
BaseRepresentation
bin1000101110100111101…
…0110011101000101000
3112100001111202202011100
42023221322303220220
54424101032121430
6152515421401400
713555661554215
oct2135172635050
9470044682140
10149953395240
115865a867320
122508b109260
13111a9a1258c
1473874dcb0c
153d79975960
hex22e9eb3a28

149953395240 has 384 divisors, whose sum is σ = 563114073600. Its totient is φ = 34224975360.

The previous prime is 149953395211. The next prime is 149953395247. The reversal of 149953395240 is 42593359941.

149953395240 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 5 + 3 + 395 + 240 = 666.

149953395240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149953395247) 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 95 ways as a sum of consecutive naturals, for example, 12258007 + ... + 12270233.

It is an arithmetic number, because the mean of its divisors is an integer number (1466442900).

Almost surely, 2149953395240 is an apocalyptic number.

149953395240 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 149953395240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281557036800).

149953395240 is an abundant number, since it is smaller than the sum of its proper divisors (413160678360).

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

149953395240 is a wasteful number, since it uses less digits than its factorization.

149953395240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 149953395240 in words is "one hundred forty-nine billion, nine hundred fifty-three million, three hundred ninety-five thousand, two hundred forty".