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4042010144 = 251923111287
BaseRepresentation
bin1111000011101100…
…0010111000100000
3101102200202101112102
43300323002320200
531234223311034
61505030145532
7202110343064
oct36073027040
911380671472
104042010144
111794678057
129497b22a8
134c55401a3
142a4b6baa4
15189cc297e
hexf0ec2e20

4042010144 has 72 divisors (see below), whose sum is σ = 8670267648. Its totient is φ = 1852709760.

The previous prime is 4042010143. The next prime is 4042010149. The reversal of 4042010144 is 4410102404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4042010143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352469 + ... + 363755.

It is an arithmetic number, because the mean of its divisors is an integer number (120420384).

Almost surely, 24042010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335133824).

4042010144 is an abundant number, since it is smaller than the sum of its proper divisors (4628257504).

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

4042010144 is a wasteful number, since it uses less digits than its factorization.

4042010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11366 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4042010144 is about 63576.8050785819. The cubic root of 4042010144 is about 1592.9389552024.

Adding to 4042010144 its reverse (4410102404), we get a palindrome (8452112548).

The spelling of 4042010144 in words is "four billion, forty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 361 496 589 608 722 992 1178 1444 2356 2888 4712 5776 9424 11191 11287 11552 18848 22382 22574 44764 45148 89528 90296 179056 180592 214453 349897 358112 361184 428906 699794 857812 1399588 1715624 2799176 3431248 4074607 5598352 6648043 6862496 8149214 11196704 13296086 16298428 26592172 32596856 53184344 65193712 106368688 126312817 130387424 212737376 252625634 505251268 1010502536 2021005072 4042010144