Search a number
-
+
149341945968 = 24343119718869
BaseRepresentation
bin1000101100010101111…
…0010100000001110000
3112021110220012220110000
42023011132110001300
54421323014232333
6152335020110000
713534555411245
oct2130536240160
9467426186400
10149341945968
11583766a9446
1224b3a395300
1311110138587
14732a2155cc
153d40e45713
hex22c5794070

149341945968 has 200 divisors, whose sum is σ = 448470760320. Its totient is φ = 47927738880.

The previous prime is 149341945939. The next prime is 149341945969. The reversal of 149341945968 is 869549143941.

149341945968 is a `hidden beast` number, since 1 + 4 + 9 + 34 + 1 + 9 + 4 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149341945969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7905238 + ... + 7924106.

Almost surely, 2149341945968 is an apocalyptic number.

149341945968 is a gapful number since it is divisible by the number (18) 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 149341945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235380160).

149341945968 is an abundant number, since it is smaller than the sum of its proper divisors (299128814352).

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

149341945968 is a wasteful number, since it uses less digits than its factorization.

149341945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117 (or 19102 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 149341945968 in words is "one hundred forty-nine billion, three hundred forty-one million, nine hundred forty-five thousand, nine hundred sixty-eight".