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148714304004 = 223272895091861
BaseRepresentation
bin1000101010000000010…
…0000011001000000100
3112012212011012101112100
42022200010003020010
54414031330212004
6152152435352100
713513164504300
oct2124004031004
9465764171470
10148714304004
1158084390782
12249a4152630
13110400b20b6
1472aab14d00
153d05cb7739
hex22a0103204

148714304004 has 216 divisors, whose sum is σ = 443311104600. Its totient is φ = 41907317760.

The previous prime is 148714303993. The next prime is 148714304023. The reversal of 148714304004 is 400403417841.

It is a happy number.

148714304004 is a `hidden beast` number, since 148 + 71 + 43 + 0 + 400 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57790404 + 148656513600 = 7602^2 + 385560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148714304004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79910034 + ... + 79911894.

It is an arithmetic number, because the mean of its divisors is an integer number (2052366225).

Almost surely, 2148714304004 is an apocalyptic number.

148714304004 is a gapful number since it is divisible by the number (14) 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 148714304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221655552300).

148714304004 is an abundant number, since it is smaller than the sum of its proper divisors (294596800596).

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

148714304004 is a wasteful number, since it uses less digits than its factorization.

148714304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 148714304004 in words is "one hundred forty-eight billion, seven hundred fourteen million, three hundred four thousand, four".