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4113441231432 = 2331337715018693
BaseRepresentation
bin111011110110111100001…
…101000001001001001000
3112120020111210101100101020
4323312330031001021020
51014343311423401212
612425404441152440
7603120623365221
oct73667415011110
915506453340336
104113441231432
1113465563798a5
1256526718b720
1323ab85226650
1410313d584248
1572000251d8c
hex3bdbc341248

4113441231432 has 128 divisors (see below), whose sum is σ = 11534163298560. Its totient is φ = 1214121968640.

The previous prime is 4113441231421. The next prime is 4113441231439. The reversal of 4113441231432 is 2341321443114.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4113441231393 and 4113441231402.

It is not an unprimeable number, because it can be changed into a prime (4113441231439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689723 + ... + 3328970.

It is an arithmetic number, because the mean of its divisors is an integer number (90110650770).

Almost surely, 24113441231432 is an apocalyptic number.

It is an amenable number.

4113441231432 is an abundant number, since it is smaller than the sum of its proper divisors (7420722067128).

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

4113441231432 is a wasteful number, since it uses less digits than its factorization.

4113441231432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018823 (or 5018819 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 4113441231432 its reverse (2341321443114), we get a palindrome (6454762674546).

The spelling of 4113441231432 in words is "four trillion, one hundred thirteen billion, four hundred forty-one million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 71 74 78 104 111 142 148 156 213 222 284 296 312 426 444 481 568 852 888 923 962 1443 1704 1846 1924 2627 2769 2886 3692 3848 5254 5538 5772 7384 7881 10508 11076 11544 15762 21016 22152 31524 34151 63048 68302 102453 136604 204906 273208 409812 819624 5018693 10037386 15056079 20074772 30112158 40149544 60224316 65243009 120448632 130486018 185691641 195729027 260972036 356327203 371383282 391458054 521944072 557074923 712654406 742766564 782916108 1068981609 1114149846 1425308812 1485533128 1565832216 2137963218 2228299692 2413991333 2850617624 4275926436 4456599384 4632253639 4827982666 7241973999 8551852872 9264507278 9655965332 13184106511 13896760917 14483947998 18529014556 19311930664 26368213022 27793521834 28967895996 37058029112 39552319533 52736426044 55587043668 57935791992 79104639066 105472852088 111174087336 158209278132 171393384643 316418556264 342786769286 514180153929 685573538572 1028360307858 1371147077144 2056720615716 4113441231432