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149441340000 = 253544357923
BaseRepresentation
bin1000101100101101100…
…1011110001001100000
3112021201211020122102110
42023023121132021200
54422023440340000
6152352530315320
713540203300621
oct2131331361140
9467654218373
10149441340000
1158417816677
1224b67728b40
13111278c9304
1473394c9a48
153d49a2a850
hex22cb65e260

149441340000 has 240 divisors, whose sum is σ = 501606084672. Its totient is φ = 38923584000.

The previous prime is 149441339981. The next prime is 149441340023. The reversal of 149441340000 is 43144941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1494413400003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 149441340000.

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 39 ways as a sum of consecutive naturals, for example, 2551039 + ... + 2608961.

Almost surely, 2149441340000 is an apocalyptic number.

149441340000 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 149441340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250803042336).

149441340000 is an abundant number, since it is smaller than the sum of its proper divisors (352164744672).

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

149441340000 is an equidigital number, since it uses as much as digits as its factorization.

149441340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57999 (or 57976 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 149441340000 its reverse (43144941), we get a palindrome (149484484941).

The spelling of 149441340000 in words is "one hundred forty-nine billion, four hundred forty-one million, three hundred forty thousand".