Search a number
-
+
14224142031420 = 22351019972354281
BaseRepresentation
bin1100111011111101000011…
…1011101101101000111100
31212100210222220200220102210
43032333100323231220330
53331022020330001140
650130251452420420
72665442333235606
oct316772073555074
955323886626383
1014224142031420
114594474399372
121718898477710
137c243bb0b2c9
1437264899c176
1519a008a6bd80
hexcefd0eeda3c

14224142031420 has 96 divisors (see below), whose sum is σ = 40262290399296. Its totient is φ = 3751780608000.

The previous prime is 14224142031391. The next prime is 14224142031469. The reversal of 14224142031420 is 2413024142241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4864680 + ... + 7218960.

It is an arithmetic number, because the mean of its divisors is an integer number (419398858326).

Almost surely, 214224142031420 is an apocalyptic number.

14224142031420 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 14224142031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20131145199648).

14224142031420 is an abundant number, since it is smaller than the sum of its proper divisors (26038148367876).

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

14224142031420 is a wasteful number, since it uses less digits than its factorization.

14224142031420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355391 (or 2355389 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14224142031420 its reverse (2413024142241), we get a palindrome (16637166173661).

The spelling of 14224142031420 in words is "fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 997 1010 1212 1515 1994 2020 2991 3030 3988 4985 5982 6060 9970 11964 14955 19940 29910 59820 100697 201394 302091 402788 503485 604182 1006970 1208364 1510455 2013940 2354281 3020910 4708562 6041820 7062843 9417124 11771405 14125686 23542810 28251372 35314215 47085620 70628430 141256860 237782381 475564762 713347143 951129524 1188911905 1426694286 2347218157 2377823810 2853388572 3566735715 4694436314 4755647620 7041654471 7133471430 9388872628 11736090785 14083308942 14266942860 23472181570 28166617884 35208272355 46944363140 70416544710 140833089420 237069033857 474138067714 711207101571 948276135428 1185345169285 1422414203142 2370690338570 2844828406284 3556035507855 4741380677140 7112071015710 14224142031420