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148714942464 = 212351117247
BaseRepresentation
bin1000101010000000011…
…0011111000000000000
3112012212012101211100000
42022200012133000000
54414032011124324
6152152501200000
713513203103554
oct2124006370000
9465765354300
10148714942464
1158084787430
12249a4400000
131104027689a
1472aac3d864
153d05d919c9
hex22a019f000

148714942464 has 936 divisors, whose sum is σ = 527228851968. Its totient is φ = 41511813120.

The previous prime is 148714942433. The next prime is 148714942477. The reversal of 148714942464 is 464249417841.

148714942464 is a `hidden beast` number, since 1 + 4 + 8 + 71 + 494 + 24 + 64 = 666.

It is a super-2 number, since 2×1487149424642 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148714942464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3164147689 + ... + 3164147735.

It is an arithmetic number, because the mean of its divisors is an integer number (563278688).

Almost surely, 2148714942464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148714942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263614425984).

148714942464 is an abundant number, since it is smaller than the sum of its proper divisors (378513909504).

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

148714942464 is an equidigital number, since it uses as much as digits as its factorization.

148714942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 80 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 148714942464 in words is "one hundred forty-eight billion, seven hundred fourteen million, nine hundred forty-two thousand, four hundred sixty-four".