Search a number
-
+
149195880852480 = 2103257111731731093
BaseRepresentation
bin100001111011000101011111…
…011110101110110000000000
3201120020222122110102200022200
4201323011133132232300000
5124023411130444234410
61245151350320033200
743266022003604040
oct4173053736566000
9646228573380280
10149195880852480
11435a1688238020
12148971b2762800
13653315a3b1c57
1428bb194da7720
15123add96ce3c0
hex87b15f7aec00

149195880852480 has 4224 divisors, whose sum is σ = 714751710806016. Its totient is φ = 27824593305600.

The previous prime is 149195880852467. The next prime is 149195880852481. The reversal of 149195880852480 is 84258088591941.

149195880852480 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 95 + 8 + 8 + 0 + 8 + 52 + 480 = 666.

149195880852480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 149195880852399 and 149195880852408.

It is not an unprimeable number, because it can be changed into a prime (149195880852481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136501262814 + ... + 136501263906.

Almost surely, 2149195880852480 is an apocalyptic number.

149195880852480 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 149195880852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357375855403008).

149195880852480 is an abundant number, since it is smaller than the sum of its proper divisors (565555829953536).

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

149195880852480 is a wasteful number, since it uses less digits than its factorization.

149195880852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 149195880852480 in words is "one hundred forty-nine trillion, one hundred ninety-five billion, eight hundred eighty million, eight hundred fifty-two thousand, four hundred eighty".