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149444947200 = 2835223675051
BaseRepresentation
bin1000101100101110011…
…1001110110100000000
3112021202002000220120110
42023023213032310000
54422030401302300
6152353135511320
713540246043343
oct2131347166400
9467662026513
10149444947200
115841985a82a
1224b68988540
1311128590153
147339b8845a
153d49ede550
hex22cb9ced00

149444947200 has 432 divisors, whose sum is σ = 522427562496. Its totient is φ = 37542912000.

The previous prime is 149444947147. The next prime is 149444947237. The reversal of 149444947200 is 2749444941.

It is a super-2 number, since 2×1494449472002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149444947200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29584675 + ... + 29589725.

Almost surely, 2149444947200 is an apocalyptic number.

149444947200 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 149444947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261213781248).

149444947200 is an abundant number, since it is smaller than the sum of its proper divisors (372982615296).

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

149444947200 is a wasteful number, since it uses less digits than its factorization.

149444947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 149444947200 in words is "one hundred forty-nine billion, four hundred forty-four million, nine hundred forty-seven thousand, two hundred".