Search a number
-
+
14017426200 = 23325213815639
BaseRepresentation
bin11010000111000000…
…01111001100011000
31100011220021000211100
431003200033030120
5212201430114300
610234534031400
71004236104531
oct150340171430
940156230740
1014017426200
115a43520858
1228724a8560
13142510093b
1496d931688
15570926700
hex34380f318

14017426200 has 144 divisors (see below), whose sum is σ = 47117631600. Its totient is φ = 3734611200.

The previous prime is 14017426193. The next prime is 14017426207. The reversal of 14017426200 is 262471041.

It is an interprime number because it is at equal distance from previous prime (14017426193) and next prime (14017426207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14017426207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2482981 + ... + 2488619.

It is an arithmetic number, because the mean of its divisors is an integer number (327205775).

Almost surely, 214017426200 is an apocalyptic number.

14017426200 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 14017426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558815800).

14017426200 is an abundant number, since it is smaller than the sum of its proper divisors (33100205400).

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

14017426200 is a wasteful number, since it uses less digits than its factorization.

14017426200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 14017426200 its reverse (262471041), we get a palindrome (14279897241).

The spelling of 14017426200 in words is "fourteen billion, seventeen million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1381 1800 2762 4143 5524 5639 6905 8286 11048 11278 12429 13810 16572 16917 20715 22556 24858 27620 28195 33144 33834 34525 41430 45112 49716 50751 55240 56390 62145 67668 69050 82860 84585 99432 101502 103575 112780 124290 135336 138100 140975 165720 169170 203004 207150 225560 248580 253755 276200 281950 310725 338340 406008 414300 422925 497160 507510 563900 621450 676680 828600 845850 1015020 1127800 1242900 1268775 1691700 2030040 2485800 2537550 3383400 5075100 7787459 10150200 15574918 23362377 31149836 38937295 46724754 62299672 70087131 77874590 93449508 116811885 140174262 155749180 186899016 194686475 233623770 280348524 311498360 350435655 389372950 467247540 560697048 584059425 700871310 778745900 934495080 1168118850 1401742620 1557491800 1752178275 2336237700 2803485240 3504356550 4672475400 7008713100 14017426200