Search a number
-
+
14220142233000 = 2335311430913401
BaseRepresentation
bin1100111011101110001010…
…0001101100010110101000
31212100102200011101002111120
43032323202201230112220
53330440322402424000
650124350531055240
72665241244431664
oct316734241542650
955312604332446
1014220142233000
114592801632640
121717b60a41520
137c1c5225a592
1437238969b8a4
15199d728366a0
hexceee286c5a8

14220142233000 has 128 divisors (see below), whose sum is σ = 48400193312640. Its totient is φ = 3447307200000.

The previous prime is 14220142232999. The next prime is 14220142233049. The reversal of 14220142233000 is 33224102241.

It is a happy number.

14220142233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 215423701 + ... + 215489700.

It is an arithmetic number, because the mean of its divisors is an integer number (378126510255).

Almost surely, 214220142233000 is an apocalyptic number.

14220142233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14220142233000 is an abundant number, since it is smaller than the sum of its proper divisors (34180051079640).

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

14220142233000 is a wasteful number, since it uses less digits than its factorization.

14220142233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430913436 (or 430913422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14220142233000 its reverse (33224102241), we get a palindrome (14253366335241).

The spelling of 14220142233000 in words is "fourteen trillion, two hundred twenty billion, one hundred forty-two million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 430913401 861826802 1292740203 1723653604 2154567005 2585480406 3447307208 4309134010 4740047411 5170960812 6463701015 8618268020 9480094822 10341921624 10772835025 12927402030 14220142233 17236536040 18960189644 21545670050 23700237055 25854804060 28440284466 32318505075 37920379288 43091340100 47400474110 51709608120 53864175125 56880568932 64637010150 71100711165 86182680200 94800948220 107728350250 113761137864 118501185275 129274020300 142201422330 161592525375 189601896440 215456700500 237002370550 258548040600 284402844660 323185050750 355503555825 430913401000 474004741100 568805689320 592505926375 646370101500 711007111650 948009482200 1185011852750 1292740203000 1422014223300 1777517779125 2370023705500 2844028446600 3555035558250 4740047411000 7110071116500 14220142233000