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4042031240 = 2351310877151
BaseRepresentation
bin1111000011101100…
…1000000010001000
3101102200210110110202
43300323020002020
531234224444430
61505030431332
7202110461432
oct36073100210
911380713422
104042031240
111794691995
12949802548
134c5549980
142a4b75652
15189cc8d45
hexf0ec8088

4042031240 has 64 divisors (see below), whose sum is σ = 9804533760. Its totient is φ = 1490860800.

The previous prime is 4042031239. The next prime is 4042031309. The reversal of 4042031240 is 421302404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561665 + ... + 568815.

It is an arithmetic number, because the mean of its divisors is an integer number (153195840).

Almost surely, 24042031240 is an apocalyptic number.

4042031240 is a gapful number since it is divisible by the number (40) 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 4042031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902266880).

4042031240 is an abundant number, since it is smaller than the sum of its proper divisors (5762502520).

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

4042031240 is a wasteful number, since it uses less digits than its factorization.

4042031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4042031240 is about 63576.9709879293. The cubic root of 4042031240 is about 1592.9417264788.

Adding to 4042031240 its reverse (421302404), we get a palindrome (4463333644).

The spelling of 4042031240 in words is "four billion, forty-two million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1087 2174 4348 5435 7151 8696 10870 14131 14302 21740 28262 28604 35755 43480 56524 57208 70655 71510 92963 113048 141310 143020 185926 282620 286040 371852 464815 565240 743704 929630 1859260 3718520 7773137 15546274 31092548 38865685 62185096 77731370 101050781 155462740 202101562 310925480 404203124 505253905 808406248 1010507810 2021015620 4042031240