Search a number
-
+
14420020143200 = 2552713991840603
BaseRepresentation
bin1101000111010110110000…
…1011011010010001100000
31220001112120222220222021112
43101311230023122101200
53342224200124040300
650400244340242452
73015545353562030
oct321655413322140
956045528828245
1014420020143200
11465a550494981
12174a8436a0428
13807a571a0569
1437bd0b47b8c0
151a01701e0e35
hexd1d6c2da460

14420020143200 has 144 divisors (see below), whose sum is σ = 40260635654400. Its totient is φ = 4940470264320.

The previous prime is 14420020143161. The next prime is 14420020143203. The reversal of 14420020143200 is 234102002441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420020143203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6914099 + ... + 8754701.

It is an arithmetic number, because the mean of its divisors is an integer number (279587747600).

Almost surely, 214420020143200 is an apocalyptic number.

14420020143200 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 14420020143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130317827200).

14420020143200 is an abundant number, since it is smaller than the sum of its proper divisors (25840615511200).

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

14420020143200 is a wasteful number, since it uses less digits than its factorization.

14420020143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842029 (or 1842016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14420020143200 its reverse (234102002441), we get a palindrome (14654122145641).

The spelling of 14420020143200 in words is "fourteen trillion, four hundred twenty billion, twenty million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1399 1400 2798 2800 5596 5600 6995 9793 11192 13990 19586 22384 27980 34975 39172 44768 48965 55960 69950 78344 97930 111920 139900 156688 195860 223840 244825 279800 313376 391720 489650 559600 783440 979300 1119200 1566880 1840603 1958600 3681206 3917200 7362412 7834400 9203015 12884221 14724824 18406030 25768442 29449648 36812060 46015075 51536884 58899296 64421105 73624120 92030150 103073768 128842210 147248240 184060300 206147536 257684420 294496480 322105525 368120600 412295072 515368840 644211050 736241200 1030737680 1288422100 1472482400 2061475360 2575003597 2576844200 5150007194 5153688400 10300014388 10307376800 12875017985 18025025179 20600028776 25750035970 36050050358 41200057552 51500071940 64375089925 72100100716 82400115104 90125125895 103000143880 128750179850 144200201432 180250251790 206000287760 257500359700 288400402864 360500503580 412000575520 450625629475 515000719400 576800805728 721001007160 901251258950 1030001438800 1442002014320 1802502517900 2060002877600 2884004028640 3605005035800 7210010071600 14420020143200