Search a number
-
+
13333334314432 = 2611232897284243
BaseRepresentation
bin1100001000000110100010…
…1001111100110111000000
31202012122122222211011220211
43002001220221330313000
53221423132041030212
644205125455443504
72544205311463156
oct302015051746700
952178588734824
1013333334314432
1142806a9691890
1215b410a826594
137594358b7122
143414a03613d6
15181c6d54e9a7
hexc2068a7cdc0

13333334314432 has 112 divisors (see below), whose sum is σ = 30129081760512. Its totient is φ = 5795080417280.

The previous prime is 13333334314429. The next prime is 13333334314481. The reversal of 13333334314432 is 23441343333331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46766103 + ... + 47050345.

It is an arithmetic number, because the mean of its divisors is an integer number (269009658576).

Almost surely, 213333334314432 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 13333334314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064540880256).

13333334314432 is an abundant number, since it is smaller than the sum of its proper divisors (16795747446080).

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

13333334314432 is a wasteful number, since it uses less digits than its factorization.

13333334314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287186 (or 287176 counting only the distinct ones).

The product of its digits is 839808, while the sum is 40.

Adding to 13333334314432 its reverse (23441343333331), we get a palindrome (36774677647763).

The spelling of 13333334314432 in words is "thirteen trillion, three hundred thirty-three billion, three hundred thirty-four million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 2897 4048 5794 8096 11588 16192 23176 31867 46352 63734 66631 92704 127468 133262 185408 254936 266524 284243 509872 533048 568486 732941 1019744 1066096 1136972 1465882 2039488 2132192 2273944 2931764 3126673 4264384 4547888 5863528 6253346 6537589 9095776 11727056 12506692 13075178 18191552 23454112 25013384 26150356 46908224 50026768 52300712 71913479 100053536 104601424 143826958 200107072 209202848 287653916 418405696 575307832 823451971 1150615664 1646903942 2301231328 3293807884 4602462656 6587615768 9057971681 13175231536 18115943362 18939395333 26350463072 36231886724 37878790666 52700926144 72463773448 75757581332 144927546896 151515162664 208333348663 289855093792 303030325328 416666697326 579710187584 606060650656 833333394652 1212121301312 1666666789304 3333333578608 6666667157216 13333334314432