Search a number
-
+
4024234413012 = 22311833111181057
BaseRepresentation
bin111010100011110111000…
…100000000101111010100
3112020201020211000102211110
4322203313010000233110
51011413113002204022
612320412513335020
7563512165056342
oct72436704005724
915221224012743
104024234413012
111311739461880
1254bb0bb67470
1323263983a8a8
14dcab9b58992
156ea2d85200c
hex3a8f7100bd4

4024234413012 has 96 divisors (see below), whose sum is σ = 10400264469504. Its totient is φ = 1200897740800.

The previous prime is 4024234412969. The next prime is 4024234413037. The reversal of 4024234413012 is 2103144324204.

It is a super-2 number, since 2×40242344130122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816788 + ... + 3997844.

It is an arithmetic number, because the mean of its divisors is an integer number (108336088224).

Almost surely, 24024234413012 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 4024234413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200132234752).

4024234413012 is an abundant number, since it is smaller than the sum of its proper divisors (6376030056492).

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

4024234413012 is a wasteful number, since it uses less digits than its factorization.

4024234413012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181469 (or 1181467 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4024234413012 its reverse (2103144324204), we get a palindrome (6127378737216).

The spelling of 4024234413012 in words is "four trillion, twenty-four billion, two hundred thirty-four million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 311 332 498 622 913 933 996 1244 1826 1866 2739 3421 3652 3732 5478 6842 10263 10956 13684 20526 25813 41052 51626 77439 103252 154878 283943 309756 567886 851829 1135772 1181057 1703658 2362114 3407316 3543171 4724228 7086342 12991627 14172684 25983254 38974881 51966508 77949762 98027731 155899524 196055462 294083193 367308727 392110924 588166386 734617454 1078305041 1101926181 1176332772 1469234908 2156610082 2203852362 3234915123 4040395997 4313220164 4407704724 6469830246 8080791994 12121187991 12939660492 16161583988 24242375982 30486624341 48484751964 60973248682 91459873023 121946497364 182919746046 335352867751 365839492092 670705735502 1006058603253 1341411471004 2012117206506 4024234413012