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12433413420232 = 2372361732167813
BaseRepresentation
bin1011010011101110000100…
…1100001011010011001000
31122000121210221220002102221
42310323201030023103020
53112202112313421412
642235455315503424
72422166401212610
oct264734114132310
948017727802387
1012433413420232
113a63a87812392
121489818bb7b74
136c26096373ac
1430dacd68ba40
1516864ce4bb07
hexb4ee130b4c8

12433413420232 has 128 divisors (see below), whose sum is σ = 28644280220160. Its totient is φ = 4944692459520.

The previous prime is 12433413420217. The next prime is 12433413420317. The reversal of 12433413420232 is 23202431433421.

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, 4651558 + ... + 6819370.

It is an arithmetic number, because the mean of its divisors is an integer number (223783439220).

Almost surely, 212433413420232 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 12433413420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322140110080).

12433413420232 is an abundant number, since it is smaller than the sum of its proper divisors (16210866799928).

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

12433413420232 is a wasteful number, since it uses less digits than its factorization.

12433413420232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167983 (or 2167979 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 12433413420232 its reverse (23202431433421), we get a palindrome (35635844853653).

The spelling of 12433413420232 in words is "twelve trillion, four hundred thirty-three billion, four hundred thirteen million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 61 73 92 122 146 161 184 244 292 322 427 488 511 584 644 854 1022 1288 1403 1679 1708 2044 2806 3358 3416 4088 4453 5612 6716 8906 9821 11224 11753 13432 17812 19642 23506 31171 35624 39284 47012 62342 78568 94024 102419 124684 204838 249368 409676 716933 819352 1433866 2167813 2867732 4335626 5735464 8671252 15174691 17342504 30349382 49859699 60698764 99719398 121397528 132236593 158250349 199438796 264473186 316500698 349017893 398877592 528946372 633001396 698035786 925656151 1057892744 1107752443 1266002792 1396071572 1851312302 2215504886 2792143144 3041441639 3639758027 3702624604 4431009772 6082883278 7279516054 7405249208 8862019544 9653271289 12165766556 14559032108 19306542578 21290091473 24331533112 25478306189 29118064216 38613085156 42580182946 50956612378 67572899023 77226170312 85160365892 101913224756 135145798046 170320731784 203826449512 222025239647 270291596092 444050479294 540583192184 888100958588 1554176677529 1776201917176 3108353355058 6216706710116 12433413420232