Search a number
-
+
149384023200 = 25345216314143
BaseRepresentation
bin1000101100011111111…
…0110100110010100000
3112021120211101122120000
42023013332310302200
54421414302220300
6152343122020000
713535606150346
oct2130776646240
9467524348500
10149384023200
1158398428715
1224b504a7600
1311118a7b749
147331a49996
153d449a7c00
hex22c7fb4ca0

149384023200 has 360 divisors, whose sum is σ = 548155415808. Its totient is φ = 39588549120.

The previous prime is 149384023181. The next prime is 149384023267. The reversal of 149384023200 is 2320483941.

149384023200 is a `hidden beast` number, since 1 + 49 + 3 + 8 + 402 + 3 + 200 = 666.

149384023200 is digitally balanced in base 2, 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 (360).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 10555329 + ... + 10569471.

Almost surely, 2149384023200 is an apocalyptic number.

149384023200 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 149384023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274077707904).

149384023200 is an abundant number, since it is smaller than the sum of its proper divisors (398771392608).

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

149384023200 is a wasteful number, since it uses less digits than its factorization.

149384023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 149384023200 in words is "one hundred forty-nine billion, three hundred eighty-four million, twenty-three thousand, two hundred".