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14420201400 = 23325211728293
BaseRepresentation
bin11010110111000001…
…01100111110111000
31101012222011010112100
431123200230332320
5214013032421100
610342522543400
71020226455333
oct153340547670
941188133470
1014420201400
11612a911820
122965367b60
13148a6a4467
149ab21961a
15595e87400
hex35b82cfb8

14420201400 has 144 divisors (see below), whose sum is σ = 52830446760. Its totient is φ = 3495801600.

The previous prime is 14420201399. The next prime is 14420201441. The reversal of 14420201400 is 410202441.

14420201400 is a `hidden beast` number, since 1 + 4 + 420 + 201 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344347 + ... + 383946.

Almost surely, 214420201400 is an apocalyptic number.

14420201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420201400 is an abundant number, since it is smaller than the sum of its proper divisors (38410245360).

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

14420201400 is a wasteful number, since it uses less digits than its factorization.

14420201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728326 (or 728314 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14420201400 its reverse (410202441), we get a palindrome (14830403841).

The spelling of 14420201400 in words is "fourteen billion, four hundred twenty million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 728293 1456586 2184879 2913172 3641465 4369758 5826344 6554637 7282930 8011223 8739516 10924395 13109274 14565860 16022446 17479032 18207325 21848790 24033669 26218548 29131720 32044892 32773185 36414650 40056115 43697580 48067338 52437096 54621975 64089784 65546370 72101007 72829300 80112230 87395160 96134676 109243950 120168345 131092740 144202014 145658600 160224460 163865925 192269352 200280575 218487900 240336690 262185480 288404028 320448920 327731850 360505035 400561150 436975800 480673380 576808056 600841725 655463700 721010070 801122300 961346760 1201683450 1310927400 1442020140 1602244600 1802525175 2403366900 2884040280 3605050350 4806733800 7210100700 14420201400