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1214144345172 = 2231143457468071
BaseRepresentation
bin10001101010110000101…
…001000111010001010100
311022001220210210021220110
4101222300221013101110
5124343031423021142
62325434211003020
7153501425436663
oct21526051072124
94261823707813
101214144345172
11428a08914a60
12177386599470
138a654a95915
1442a9cc56dda
15218b183299c
hex11ab0a47454

1214144345172 has 96 divisors (see below), whose sum is σ = 3169349213184. Its totient is φ = 358579065600.

The previous prime is 1214144345143. The next prime is 1214144345201. The reversal of 1214144345172 is 2715434414121.

It is an interprime number because it is at equal distance from previous prime (1214144345143) and next prime (1214144345201).

It is a self number, because there is not a number n which added to its sum of digits gives 1214144345172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2359897 + ... + 2827967.

It is an arithmetic number, because the mean of its divisors is an integer number (33014054304).

Almost surely, 21214144345172 is an apocalyptic number.

1214144345172 is a gapful number since it is divisible by the number (12) 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 1214144345172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584674606592).

1214144345172 is an abundant number, since it is smaller than the sum of its proper divisors (1955204868012).

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

1214144345172 is a wasteful number, since it uses less digits than its factorization.

1214144345172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468589 (or 468587 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

Adding to 1214144345172 its reverse (2715434414121), we get a palindrome (3929578759293).

The spelling of 1214144345172 in words is "one trillion, two hundred fourteen billion, one hundred forty-four million, three hundred forty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 457 473 516 914 946 1371 1419 1828 1892 2742 2838 5027 5484 5676 10054 15081 19651 20108 30162 39302 58953 60324 78604 117906 216161 235812 432322 468071 648483 864644 936142 1296966 1404213 1872284 2593932 2808426 5148781 5616852 10297562 15446343 20127053 20595124 30892686 40254106 60381159 61785372 80508212 120762318 213908447 221397583 241524636 427816894 442795166 641725341 664192749 855633788 885590332 1283450682 1328385498 2352992917 2566901364 2656770996 4705985834 7058978751 9198063221 9411971668 14117957502 18396126442 27594189663 28235915004 36792252884 55188379326 101178695431 110376758652 202357390862 303536086293 404714781724 607072172586 1214144345172