Search a number
-
+
13400424040200 = 2335219261867147
BaseRepresentation
bin1100001100000000011110…
…0000111100011100001000
31202110001211120222101001220
43003000013200330130020
53224023032023241300
644300023025242040
72552101666651251
oct303000740743410
952401746871056
1013400424040200
1142a70a702783a
121605112a93320
13762868104402
14344826649b28
151838983e1da0
hexc300783c708

13400424040200 has 144 divisors (see below), whose sum is σ = 43842773101680. Its totient is φ = 3385370229120.

The previous prime is 13400424040183. The next prime is 13400424040291. The reversal of 13400424040200 is 204042400431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30716974 + ... + 31150173.

It is an arithmetic number, because the mean of its divisors is an integer number (304463702095).

Almost surely, 213400424040200 is an apocalyptic number.

13400424040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400424040200 is an abundant number, since it is smaller than the sum of its proper divisors (30442349061480).

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

13400424040200 is a wasteful number, since it uses less digits than its factorization.

13400424040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61867204 (or 61867176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13400424040200 its reverse (204042400431), we get a palindrome (13604466440631).

The spelling of 13400424040200 in words is "thirteen trillion, four hundred billion, four hundred twenty-four million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 570 600 722 760 950 1083 1140 1425 1444 1805 1900 2166 2280 2850 2888 3610 3800 4332 5415 5700 7220 8664 9025 10830 11400 14440 18050 21660 27075 36100 43320 54150 72200 108300 216600 61867147 123734294 185601441 247468588 309335735 371202882 494937176 618671470 742405764 928007205 1175475793 1237342940 1484811528 1546678675 1856014410 2350951586 2474685880 3093357350 3526427379 3712028820 4640036025 4701903172 5877378965 6186714700 7052854758 7424057640 9280072050 9403806344 11754757930 12373429400 14105709516 17632136895 18560144100 22334040067 23509515860 28211419032 29386894825 35264273790 37120288200 44668080134 47019031720 58773789650 67002120201 70528547580 88160684475 89336160268 111670200335 117547579300 134004240402 141057095160 176321368950 178672320536 223340400670 235095158600 268008480804 335010601005 352642737900 446680801340 536016961608 558351001675 670021202010 705285475800 893361602680 1116702003350 1340042404020 1675053005025 2233404006700 2680084808040 3350106010050 4466808013400 6700212020100 13400424040200