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144751190130 = 23551723161109
BaseRepresentation
bin1000011011001111010…
…1111110000001110010
3111211121221220100100000
42012303311332001302
54332422301041010
6150255304210430
713313032546401
oct2066365760162
9454557810300
10144751190130
1156430300658
1224078a69a16
131085b006ac1
147012643638
153b72dcb7c0
hex21b3d7e072

144751190130 has 576 divisors, whose sum is σ = 438981903360. Its totient is φ = 34264166400.

The previous prime is 144751190123. The next prime is 144751190131. The reversal of 144751190130 is 31091157441.

144751190130 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 511 + 9 + 0 + 130 = 666.

It is not an unprimeable number, because it can be changed into a prime (144751190131) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1327992516 + ... + 1327992624.

It is an arithmetic number, because the mean of its divisors is an integer number (762121360).

Almost surely, 2144751190130 is an apocalyptic number.

144751190130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144751190130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219490951680).

144751190130 is an abundant number, since it is smaller than the sum of its proper divisors (294230713230).

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

144751190130 is a wasteful number, since it uses less digits than its factorization.

144751190130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 144751190130 in words is "one hundred forty-four billion, seven hundred fifty-one million, one hundred ninety thousand, one hundred thirty".