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13442403023504 = 2471331633746997
BaseRepresentation
bin1100001110011100110110…
…1010000011101010010000
31202121002012011211200022022
43003213031222003222100
53230220020133223004
644331204340431012
72555116164301550
oct303471552035220
952532164750268
1013442403023504
114312989078274
1216112896a8468
137667c8182bc0
143468899a1160
15184a039d92be
hexc39cda83a90

13442403023504 has 160 divisors (see below), whose sum is σ = 33094917789696. Its totient is φ = 5145407815680.

The previous prime is 13442403023503. The next prime is 13442403023509. The reversal of 13442403023504 is 40532030424431.

It is not an unprimeable number, because it can be changed into a prime (13442403023503) 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, 286003334 + ... + 286050330.

Almost surely, 213442403023504 is an apocalyptic number.

13442403023504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442403023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547458894848).

13442403023504 is an abundant number, since it is smaller than the sum of its proper divisors (19652514766192).

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

13442403023504 is a wasteful number, since it uses less digits than its factorization.

13442403023504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53393 (or 53387 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 13442403023504 its reverse (40532030424431), we get a palindrome (53974433447935).

The spelling of 13442403023504 in words is "thirteen trillion, four hundred forty-two billion, four hundred three million, twenty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6337 6448 11284 12674 22568 25348 44359 45136 46997 50696 82381 88718 93994 101392 164762 177436 187988 196447 328979 329524 354872 375976 392894 576667 610961 657958 659048 709744 751952 785788 1153334 1221922 1315916 1318096 1375129 1456907 1571576 2306668 2443844 2553811 2631832 2750258 2913814 3143152 4276727 4613336 4887688 5107622 5263664 5500516 5827628 8553454 9226672 9775376 10198349 10215244 11001032 11655256 17106908 17876677 18939791 20396698 20430488 22002064 23310512 34213816 35753354 37879582 40793396 40860976 68427632 71506708 75759164 81586792 132578537 143013416 151518328 163173584 265157074 286026832 297819989 303036656 530314148 595639978 1060628296 1191279956 2084739923 2121256592 2382559912 3871659857 4169479846 4765119824 7743319714 8338959692 9232419659 15486639428 16677919384 18464839318 27101618999 30973278856 33355838768 36929678636 54203237998 61946557712 64626937613 73859357272 108406475996 120021455567 129253875226 147718714544 216812951992 240042911134 258507750452 433625903984 480085822268 517015500904 840150188969 960171644536 1034031001808 1680300377938 1920343289072 3360600755876 6721201511752 13442403023504