Search a number
-
+
41433421224 = 233131767116593
BaseRepresentation
bin100110100101100111…
…111101010110101000
310221221120021212202110
4212211213331112220
51134323423434344
631011222002320
72664521161266
oct464547752650
9127846255673
1041433421224
11166320a4688
128043b763a0
133ba40332c0
142010add436
15112777e3b9
hex9a59fd5a8

41433421224 has 128 divisors (see below), whose sum is σ = 119877287040. Its totient is φ = 11819630592.

The previous prime is 41433421217. The next prime is 41433421229. The reversal of 41433421224 is 42212433414.

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 = 41433421191 and 41433421200.

It is not an unprimeable number, because it can be changed into a prime (41433421229) 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, 297072 + ... + 413664.

It is an arithmetic number, because the mean of its divisors is an integer number (936541305).

Almost surely, 241433421224 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 41433421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59938643520).

41433421224 is an abundant number, since it is smaller than the sum of its proper divisors (78443865816).

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

41433421224 is a wasteful number, since it uses less digits than its factorization.

41433421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116699 (or 116695 counting only the distinct ones).

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

Adding to 41433421224 its reverse (42212433414), we get a palindrome (83645854638).

The spelling of 41433421224 in words is "forty-one billion, four hundred thirty-three million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 67 68 78 102 104 134 136 156 201 204 221 268 312 402 408 442 536 663 804 871 884 1139 1326 1608 1742 1768 2278 2613 2652 3417 3484 4556 5226 5304 6834 6968 9112 10452 13668 14807 20904 27336 29614 44421 59228 88842 116593 118456 177684 233186 349779 355368 466372 699558 932744 1399116 1515709 1982081 2798232 3031418 3964162 4547127 5946243 6062836 7811731 7928324 9094254 11892486 12125672 15623462 15856648 18188508 23435193 23784972 25767053 31246924 36377016 46870386 47569944 51534106 62493848 77301159 93740772 101552503 103068212 132799427 154602318 187481544 203105006 206136424 265598854 304657509 309204636 398398281 406210012 531197708 609315018 618409272 796796562 812420024 1062395416 1218630036 1593593124 1726392551 2437260072 3187186248 3452785102 5179177653 6905570204 10358355306 13811140408 20716710612 41433421224