Search a number
-
+
149110854873120 = 25345726715123209
BaseRepresentation
bin100001111001110110010011…
…100010010111000000100000
3201112221212011212001101210000
4201321312103202113000200
5124021013012321414440
61245044325302140000
743256621662653300
oct4171662342270040
9645855155041700
10149110854873120
114356961629a298
1214882823721600
136528129c2366a
1428b700a927600
151238aaed76730
hex879d93897020

149110854873120 has 1440 divisors, whose sum is σ = 625431379224960. Its totient is φ = 33350007398400.

The previous prime is 149110854873119. The next prime is 149110854873133. The reversal of 149110854873120 is 21378458011941.

149110854873120 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 1 + 0 + 8 + 548 + 73 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6424688076 + ... + 6424711284.

It is an arithmetic number, because the mean of its divisors is an integer number (434327346684).

Almost surely, 2149110854873120 is an apocalyptic number.

149110854873120 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 149110854873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312715689612480).

149110854873120 is an abundant number, since it is smaller than the sum of its proper divisors (476320524351840).

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

149110854873120 is a wasteful number, since it uses less digits than its factorization.

149110854873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23468 (or 23444 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 149110854873120 in words is "one hundred forty-nine trillion, one hundred ten billion, eight hundred fifty-four million, eight hundred seventy-three thousand, one hundred twenty".