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3140124320 = 255109180053
BaseRepresentation
bin1011101100101010…
…0111111010100000
322002211200211202202
42323022213322200
522412332434240
61235331432332
7140546421254
oct27312477240
98084624682
103140124320
111371577973
127377556a8
133b0736338
1421b080264
15135a22315
hexbb2a7ea0

3140124320 has 48 divisors (see below), whose sum is σ = 7486645320. Its totient is φ = 1244519424.

The previous prime is 3140124307. The next prime is 3140124329. The reversal of 3140124320 is 234210413.

It can be written as a sum of positive squares in 4 ways, for example, as 3076699024 + 63425296 = 55468^2 + 7964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3140124292 and 3140124301.

It is not an unprimeable number, because it can be changed into a prime (3140124329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72587 + ... + 107466.

Almost surely, 23140124320 is an apocalyptic number.

It is an amenable number.

3140124320 is an abundant number, since it is smaller than the sum of its proper divisors (4346521000).

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

3140124320 is a wasteful number, since it uses less digits than its factorization.

3140124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180177 (or 180169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3140124320 is about 56036.8121862763. The cubic root of 3140124320 is about 1464.3636758627.

Adding to 3140124320 its reverse (234210413), we get a palindrome (3374334733).

The spelling of 3140124320 in words is "three billion, one hundred forty million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 180053 360106 720212 900265 1440424 1800530 2880848 3601060 5761696 7202120 14404240 19625777 28808480 39251554 78503108 98128885 157006216 196257770 314012432 392515540 628024864 785031080 1570062160 3140124320