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149996240640 = 283652329241
BaseRepresentation
bin1000101110110001111…
…0001111111100000000
3112100011111101112000000
42023230132033330000
54424143014200030
6152523552000000
713560022003011
oct2135436177400
9470144345000
10149996240640
1158681a70744
12250a1530000
13111b586429c
14738d093008
153d7d5da860
hex22ec78ff00

149996240640 has 1008 divisors, whose sum is σ = 583902285120. Its totient is φ = 36787322880.

The previous prime is 149996240633. The next prime is 149996240651. The reversal of 149996240640 is 46042699941.

It is a happy number.

149996240640 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 9 + 624 + 0 + 6 + 4 + 0 = 666.

149996240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1499962406402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 622390920 + ... + 622391160.

It is an arithmetic number, because the mean of its divisors is an integer number (579268140).

Almost surely, 2149996240640 is an apocalyptic number.

149996240640 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 149996240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291951142560).

149996240640 is an abundant number, since it is smaller than the sum of its proper divisors (433906044480).

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

149996240640 is an equidigital number, since it uses as much as digits as its factorization.

149996240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 149996240640 in words is "one hundred forty-nine billion, nine hundred ninety-six million, two hundred forty thousand, six hundred forty".