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149094799440 = 243517261131269
BaseRepresentation
bin1000101011011010111…
…1100001100001010000
3112020211200011120010220
42022312233201201100
54420321232040230
6152254310553040
713525464612366
oct2126657414120
9466750146126
10149094799440
115825a144614
1224a8b668780
13110a0b84922
14730547d636
153d293c6d10
hex22b6be1850

149094799440 has 480 divisors, whose sum is σ = 504708589440. Its totient is φ = 36389683200.

The previous prime is 149094799439. The next prime is 149094799489. The reversal of 149094799440 is 44997490941.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 554255626 + ... + 554255894.

It is an arithmetic number, because the mean of its divisors is an integer number (1051476228).

Almost surely, 2149094799440 is an apocalyptic number.

149094799440 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 149094799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252354294720).

149094799440 is an abundant number, since it is smaller than the sum of its proper divisors (355613790000).

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

149094799440 is a wasteful number, since it uses less digits than its factorization.

149094799440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 149094799440 in words is "one hundred forty-nine billion, ninety-four million, seven hundred ninety-nine thousand, four hundred forty".