Search a number
-
+
149142383280 = 24325113198191
BaseRepresentation
bin1000101011100110010…
…1000010101010110000
3112020221222201001220100
42022321211002222300
54420420422231110
6152303130512400
713526613224652
oct2127145025260
9466858631810
10149142383280
1158283a95000
1224aa3595700
13110aa9a5347
14730b9086d2
153d2d675bc0
hex22b9942ab0

149142383280 has 480 divisors, whose sum is σ = 579985735680. Its totient is φ = 34248614400.

The previous prime is 149142383263. The next prime is 149142383293. The reversal of 149142383280 is 82383241941.

149142383280 is a `hidden beast` number, since 1 + 4 + 91 + 4 + 238 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18203985 + ... + 18212175.

It is an arithmetic number, because the mean of its divisors is an integer number (1208303616).

Almost surely, 2149142383280 is an apocalyptic number.

149142383280 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 149142383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289992867840).

149142383280 is an abundant number, since it is smaller than the sum of its proper divisors (430843352400).

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

149142383280 is a wasteful number, since it uses less digits than its factorization.

149142383280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149142383280 in words is "one hundred forty-nine billion, one hundred forty-two million, three hundred eighty-three thousand, two hundred eighty".