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140136482304 = 29327131791867
BaseRepresentation
bin1000001010000011001…
…0010000011000000000
3111101201100111220021100
42002200302100120000
54243444414413204
6144213335054400
713060466305620
oct2024062203000
9441640456240
10140136482304
1154482433335
12231ab511400
13102a3c3a160
146ad57d8880
1539a2bd0a39
hex20a0c90600

140136482304 has 480 divisors, whose sum is σ = 500825445120. Its totient is φ = 36732911616.

The previous prime is 140136482281. The next prime is 140136482333. The reversal of 140136482304 is 403284631041.

140136482304 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 648 + 2 + 3 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75058779 + ... + 75060645.

It is an arithmetic number, because the mean of its divisors is an integer number (1043386344).

Almost surely, 2140136482304 is an apocalyptic number.

140136482304 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 140136482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250412722560).

140136482304 is an abundant number, since it is smaller than the sum of its proper divisors (360688962816).

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

140136482304 is a wasteful number, since it uses less digits than its factorization.

140136482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 140136482304 in words is "one hundred forty billion, one hundred thirty-six million, four hundred eighty-two thousand, three hundred four".