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4003111242 = 23213891671151
BaseRepresentation
bin1110111010011010…
…1010000101001010
3101022222120010021100
43232212222011022
531144244024432
61501120322230
7201125612154
oct35646520512
911288503240
104003111242
1117747197a9
12938773376
134ba4708a0
1429d923ad4
1518668c07c
hexee9aa14a

4003111242 has 96 divisors (see below), whose sum is σ = 9510359040. Its totient is φ = 1209542400.

The previous prime is 4003111241. The next prime is 4003111249. The reversal of 4003111242 is 2421113004.

4003111242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4003111241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3477367 + ... + 3478517.

It is an arithmetic number, because the mean of its divisors is an integer number (99066240).

Almost surely, 24003111242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003111242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

4003111242 is an abundant number, since it is smaller than the sum of its proper divisors (5507247798).

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

4003111242 is a wasteful number, since it uses less digits than its factorization.

4003111242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4003111242 is about 63270.1449500473. The cubic root of 4003111242 is about 1587.8125110429.

Adding to 4003111242 its reverse (2421113004), we get a palindrome (6424224246).

The spelling of 4003111242 in words is "four billion, three million, one hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 167 178 234 267 334 501 534 801 1002 1151 1157 1503 1602 2171 2302 2314 3006 3453 3471 4342 6513 6906 6942 10359 10413 13026 14863 14963 19539 20718 20826 29726 29926 39078 44589 44889 89178 89778 102439 133767 134667 192217 193219 204878 267534 269334 307317 384434 386438 576651 579657 614634 921951 1153302 1159314 1331707 1729953 1738971 1843902 2498821 2663414 3459906 3477942 3995121 4997642 7496463 7990242 11985363 14992926 17107313 22489389 23970726 34214626 44978778 51321939 102643878 153965817 222395069 307931634 444790138 667185207 1334370414 2001555621 4003111242