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14300122132144 = 2417234395206891
BaseRepresentation
bin1101000000011000000110…
…1100110010111010110000
31212122002010002122221022101
43100012001230302322300
53333243122231212034
650225215125550144
73004102233364342
oct320060154627260
955562102587271
1014300122132144
11461371415a642
12172b561b75354
137c965a1750a4
143761b58c3292
1519bea4184514
hexd0181b32eb0

14300122132144 has 80 divisors (see below), whose sum is σ = 30681506972160. Its totient is φ = 6422219781120.

The previous prime is 14300122132129. The next prime is 14300122132151. The reversal of 14300122132144 is 44123122100341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142939 + ... + 5349829.

It is an arithmetic number, because the mean of its divisors is an integer number (383518837152).

Almost surely, 214300122132144 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 14300122132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340753486080).

14300122132144 is an abundant number, since it is smaller than the sum of its proper divisors (16381384840016).

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

14300122132144 is a wasteful number, since it uses less digits than its factorization.

14300122132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207378 (or 5207372 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14300122132144 its reverse (44123122100341), we get a palindrome (58423244232485).

The spelling of 14300122132144 in words is "fourteen trillion, three hundred billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 439 782 878 1564 1756 3128 3512 6256 7024 7463 10097 14926 20194 29852 40388 59704 80776 119408 161552 171649 343298 686596 1373192 2746384 5206891 10413782 20827564 41655128 83310256 88517147 119758493 177034294 239516986 354068588 479033972 708137176 958067944 1416274352 1916135888 2035894381 2285825149 4071788762 4571650298 8143577524 9143300596 16287155048 18286601192 32574310096 36573202384 38859027533 52573978427 77718055066 105147956854 155436110132 210295913708 310872220264 420591827416 621744440528 841183654832 893757633259 1787515266518 3575030533036 7150061066072 14300122132144