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13400343440 = 2451127871759
BaseRepresentation
bin11000111101011100…
…10000001110010000
31021120220002222102022
430132232100032100
5204420441442230
610053411511012
7653034016451
oct143656201620
937526088368
1013400343440
115757165400
12271b8b8468
131357303703
149119bd128
155366821e5
hex31eb90390

13400343440 has 120 divisors (see below), whose sum is σ = 34308637440. Its totient is φ = 4863893760.

The previous prime is 13400343361. The next prime is 13400343493. The reversal of 13400343440 is 4434300431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7617281 + ... + 7619039.

It is an arithmetic number, because the mean of its divisors is an integer number (285905312).

Almost surely, 213400343440 is an apocalyptic number.

13400343440 is a gapful number since it is divisible by the number (10) 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 13400343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154318720).

13400343440 is an abundant number, since it is smaller than the sum of its proper divisors (20908294000).

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

13400343440 is a wasteful number, since it uses less digits than its factorization.

13400343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13400343440 its reverse (4434300431), we get a palindrome (17834643871).

The spelling of 13400343440 in words is "thirteen billion, four hundred million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 787 880 968 1210 1574 1759 1936 2420 3148 3518 3935 4840 6296 7036 7870 8657 8795 9680 12592 14072 15740 17314 17590 19349 28144 31480 34628 35180 38698 43285 62960 69256 70360 77396 86570 95227 96745 138512 140720 154792 173140 190454 193490 212839 309584 346280 380908 386980 425678 476135 692560 761816 773960 851356 952270 1064195 1384333 1523632 1547920 1702712 1904540 2128390 2768666 3405424 3809080 4256780 5537332 6921665 7618160 8513560 11074664 13843330 15227663 17027120 22149328 27686660 30455326 55373320 60910652 76138315 110746640 121821304 152276630 167504293 243642608 304553260 335008586 609106520 670017172 837521465 1218213040 1340034344 1675042930 2680068688 3350085860 6700171720 13400343440