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4000042140 = 2235383317393
BaseRepresentation
bin1110111001101011…
…1100110010011100
3101022202210012020220
43232122330302130
531143002322030
61500530441340
7201060540303
oct35632746234
911282705226
104000042140
111772a12956
12937733250
134b9937953
1429d36543a
15186282a10
hexee6bcc9c

4000042140 has 48 divisors (see below), whose sum is σ = 11203684128. Its totient is φ = 1066338304.

The previous prime is 4000042133. The next prime is 4000042147. The reversal of 4000042140 is 412400004.

It is an interprime number because it is at equal distance from previous prime (4000042133) and next prime (4000042147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000042147) 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 15 ways as a sum of consecutive naturals, for example, 221284 + ... + 238676.

It is an arithmetic number, because the mean of its divisors is an integer number (233410086).

Almost surely, 24000042140 is an apocalyptic number.

It is an amenable number.

4000042140 is an abundant number, since it is smaller than the sum of its proper divisors (7203641988).

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

4000042140 is a wasteful number, since it uses less digits than its factorization.

4000042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238 (or 21236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4000042140 is about 63245.8863484417. The cubic root of 4000042140 is about 1587.4066263720.

Adding to 4000042140 its reverse (412400004), we get a palindrome (4412442144).

The spelling of 4000042140 in words is "four billion, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3833 7666 11499 15332 17393 19165 22998 34786 38330 45996 52179 57495 69572 76660 86965 104358 114990 173930 208716 229980 260895 347860 521790 1043580 66667369 133334738 200002107 266669476 333336845 400004214 666673690 800008428 1000010535 1333347380 2000021070 4000042140