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4034042012 = 22721113163883
BaseRepresentation
bin1111000001110010…
…1001100010011100
3101102010202120022102
43300130221202130
531230203321022
61504143304232
7201652535300
oct36034514234
911363676272
104034042012
111790125520
12946bab078
134c39b0410
142a3a95d00
1518924ba92
hexf072989c

4034042012 has 144 divisors (see below), whose sum is σ = 9718031232. Its totient is φ = 1440270720.

The previous prime is 4034042009. The next prime is 4034042093. The reversal of 4034042012 is 2102404304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4568123 + ... + 4569005.

It is an arithmetic number, because the mean of its divisors is an integer number (67486328).

Almost surely, 24034042012 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 4034042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859015616).

4034042012 is an abundant number, since it is smaller than the sum of its proper divisors (5683989220).

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

4034042012 is a wasteful number, since it uses less digits than its factorization.

4034042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

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

The square root of 4034042012 is about 63514.1087633291. The cubic root of 4034042012 is about 1591.8915310179.

Adding to 4034042012 its reverse (2102404304), we get a palindrome (6136446316).

The spelling of 4034042012 in words is "four billion, thirty-four million, forty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 163 182 196 286 308 326 364 539 572 637 652 883 1001 1078 1141 1274 1766 1793 2002 2119 2156 2282 2548 3532 3586 4004 4238 4564 6181 7007 7172 7987 8476 9713 11479 12362 12551 14014 14833 15974 19426 22958 23309 24724 25102 28028 29666 31948 38852 43267 45916 46618 50204 59332 67991 80353 86534 87857 93236 103831 126269 135982 143929 160706 163163 173068 175714 207662 252538 271964 287858 321412 326326 351428 415324 475937 505076 562471 575716 652652 883883 951874 1007503 1124942 1142141 1583219 1767766 1871077 1903748 2015006 2249884 2284282 3166438 3535532 3742154 4030012 4568564 6187181 6332876 7052521 7484308 11082533 12374362 13097539 14105042 20581847 22165066 24748724 26195078 28210084 41163694 44330132 52390156 77577731 82327388 91682773 144072929 155155462 183365546 288145858 310310924 366731092 576291716 1008510503 2017021006 4034042012