Search a number
-
+
4140752040 = 2332511502089
BaseRepresentation
bin1111011011001110…
…1101110010101000
3101200120112222221200
43312303231302220
531440013031130
61522514404200
7204416545245
oct36663556250
911616488850
104140752040
11183538a327
12976890660
1350cb33149
142b3d125cc
151937c9760
hexf6cedca8

4140752040 has 48 divisors (see below), whose sum is σ = 13457445300. Its totient is φ = 1104200448.

The previous prime is 4140752027. The next prime is 4140752051. The reversal of 4140752040 is 402570414.

It can be written as a sum of positive squares in 2 ways, for example, as 3431382084 + 709369956 = 58578^2 + 26634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4140751995 and 4140752013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5750685 + ... + 5751404.

Almost surely, 24140752040 is an apocalyptic number.

4140752040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140752040 is an abundant number, since it is smaller than the sum of its proper divisors (9316693260).

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

4140752040 is a wasteful number, since it uses less digits than its factorization.

4140752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502106 (or 11502099 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4140752040 is about 64348.6755108448. The cubic root of 4140752040 is about 1605.8059945745.

The spelling of 4140752040 in words is "four billion, one hundred forty million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11502089 23004178 34506267 46008356 57510445 69012534 92016712 103518801 115020890 138025068 172531335 207037602 230041780 276050136 345062670 414075204 460083560 517594005 690125340 828150408 1035188010 1380250680 2070376020 4140752040