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4331041011414 = 23213226914273709
BaseRepresentation
bin111111000001100110001…
…010010011011011010110
3120100001011200202111020200
4333001212022103123112
51031424432444331124
613113352555441330
7624623143115145
oct77014612233326
916301150674220
104331041011414
11141a869817207
1259b474a56246
13255552888600
1410d8a2c7175c
15779d8875bc9
hex3f0662936d6

4331041011414 has 144 divisors (see below), whose sum is σ = 10208961781200. Its totient is φ = 1326385891584.

The previous prime is 4331041011373. The next prime is 4331041011419. The reversal of 4331041011414 is 4141101401334.

4331041011414 is a `hidden beast` number, since 43 + 3 + 104 + 101 + 1 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331041011419) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1167709392 + ... + 1167713100.

It is an arithmetic number, because the mean of its divisors is an integer number (70895567925).

Almost surely, 24331041011414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331041011414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104480890600).

4331041011414 is an abundant number, since it is smaller than the sum of its proper divisors (5877920769786).

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

4331041011414 is a wasteful number, since it uses less digits than its factorization.

4331041011414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4331041011414 its reverse (4141101401334), we get a palindrome (8472142412748).

The spelling of 4331041011414 in words is "four trillion, three hundred thirty-one billion, forty-one million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 269 338 507 538 807 1014 1427 1521 1614 2421 2854 3042 3497 3709 4281 4842 6994 7418 8562 10491 11127 12843 18551 20982 22254 25686 31473 33381 37102 45461 48217 55653 62946 66762 90922 96434 111306 136383 144651 166959 241163 272766 289302 333918 383863 409149 433953 482326 626821 723489 767726 818298 867906 997721 1151589 1253642 1446978 1880463 1995442 2170467 2303178 2993163 3454767 3760926 4340934 4990219 5292743 5641389 5986326 6909534 8979489 9980438 10585486 11282778 12970373 14970657 15878229 17958978 25940746 29941314 31756458 38911119 44911971 47634687 64872847 68805659 77822238 89823942 95269374 116733357 129745694 137611318 168614849 194618541 206416977 233466714 337229698 389237082 412833954 505844547 583855623 619250931 894473567 1011689094 1167711246 1238501862 1423747867 1517533641 1788947134 2683420701 2847495734 3035067282 4271243601 5366841402 8050262103 8542487202 12813730803 16100524206 18508722271 25627461606 37017444542 55526166813 111052333626 166578500439 240613389523 333157000878 481226779046 721840168569 1443680337138 2165520505707 4331041011414