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4140023202 = 2327191729333
BaseRepresentation
bin1111011011000011…
…1011110110100010
3101200112011222011200
43312300323312202
531434321220302
61522451022030
7204410421330
oct36660736642
911615158150
104140023202
111834a31787
1297659a916
1350c939493
142b3ba2b50
151936d381c
hexf6c3bda2

4140023202 has 48 divisors (see below), whose sum is σ = 10791044160. Its totient is φ = 1120607136.

The previous prime is 4140023201. The next prime is 4140023219. The reversal of 4140023202 is 2023200414.

4140023202 is a `hidden beast` number, since 41 + 400 + 23 + 202 = 666.

It is a super-2 number, since 2×41400232022 = 34279584226196665608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4140023201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 862273 + ... + 867060.

It is an arithmetic number, because the mean of its divisors is an integer number (224813420).

Almost surely, 24140023202 is an apocalyptic number.

4140023202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4140023202 is an abundant number, since it is smaller than the sum of its proper divisors (6651020958).

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

4140023202 is a wasteful number, since it uses less digits than its factorization.

4140023202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729367 (or 1729364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140023202 is about 64343.0120681337. The cubic root of 4140023202 is about 1605.7117732758.

Adding to 4140023202 its reverse (2023200414), we get a palindrome (6163223616).

The spelling of 4140023202 in words is "four billion, one hundred forty million, twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 1729333 3458666 5187999 10375998 12105331 15563997 24210662 31127994 32857327 36315993 65714654 72631986 98571981 108947979 197143962 217895958 230001289 295715943 460002578 591431886 690003867 1380007734 2070011601 4140023202