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151040450000 = 2455111012719
BaseRepresentation
bin1000110010101010110…
…1100101110111010000
3112102212021020211221202
42030222231211313100
54433312323400000
6153215333010332
713624631433116
oct2145255456720
9472767224852
10151040450000
115906843a690
12253331839a8
1311320cacc4b
14744ba2bab6
153de0100dd5
hex232ab65dd0

151040450000 has 240 divisors, whose sum is σ = 403129198080. Its totient is φ = 54360000000.

The previous prime is 151040449997. The next prime is 151040450003. The reversal of 151040450000 is 54040151.

151040450000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151040449997) and next prime (151040450003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151040450003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55548641 + ... + 55551359.

It is an arithmetic number, because the mean of its divisors is an integer number (1679704992).

Almost surely, 2151040450000 is an apocalyptic number.

151040450000 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 151040450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201564599040).

151040450000 is an abundant number, since it is smaller than the sum of its proper divisors (252088748080).

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

151040450000 is a wasteful number, since it uses less digits than its factorization.

151040450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 151040450000 its reverse (54040151), we get a palindrome (151094490151).

The spelling of 151040450000 in words is "one hundred fifty-one billion, forty million, four hundred fifty thousand".