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1431420413332 = 2271371306718059
BaseRepresentation
bin10100110101000111010…
…011100010010110010100
312001211202011001011122011
4110311013103202112110
5141423022111211312
63013330243114004
7205262634521440
oct24650723422624
95054664034564
101431420413332
11502075562938
121b1503972904
13a4ca0347020
144d3d155b820
152737b811da7
hex14d474e2594

1431420413332 has 96 divisors (see below), whose sum is σ = 3127675299840. Its totient is φ = 558087546240.

The previous prime is 1431420413317. The next prime is 1431420413351. The reversal of 1431420413332 is 2333140241341.

It is a junction number, because it is equal to n+sod(n) for n = 1431420413294 and 1431420413303.

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 31 ways as a sum of consecutive naturals, for example, 79254519 + ... + 79272577.

It is an arithmetic number, because the mean of its divisors is an integer number (32579951040).

Almost surely, 21431420413332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431420413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563837649920).

1431420413332 is an abundant number, since it is smaller than the sum of its proper divisors (1696254886508).

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

1431420413332 is a wasteful number, since it uses less digits than its factorization.

1431420413332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221 (or 21219 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 1431420413332 its reverse (2333140241341), we get a palindrome (3764560654673).

The spelling of 1431420413332 in words is "one trillion, four hundred thirty-one billion, four hundred twenty million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1988 3067 3692 6134 6461 12268 12922 18059 21469 25844 36118 39871 42938 72236 79742 85876 126413 159484 217757 234767 252826 279097 435514 469534 505652 558194 871028 939068 1116388 1282189 1524299 1643369 2564378 2830841 3048598 3286738 5128756 5661682 6097196 6573476 8975323 11323364 16668457 17950646 19815887 33336914 35901292 39631774 55386953 66673828 79263548 110773906 116679199 221547812 233358398 387708671 466716796 720030389 775417342 1440060778 1550834684 2880121556 3932473663 5040212723 7864947326 10080425446 15729894652 20160850892 27527315641 51122157619 55054631282 102244315238 110109262564 204488630476 357855103333 715710206666 1431420413332