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1144010214312 = 233745491496941
BaseRepresentation
bin10000101001011100010…
…100101000101110101000
311001100220001001022002020
4100221130110220232220
5122220413103324222
62233315005104440
7145436432243160
oct20513424505650
94040801038066
101144010214312
11401198a3a439
12165872858120
1383b589174c4
143d5284c75a0
151eb5957965c
hex10a5c528ba8

1144010214312 has 64 divisors (see below), whose sum is σ = 3269321328000. Its totient is φ = 326787989760.

The previous prime is 1144010214289. The next prime is 1144010214329. The reversal of 1144010214312 is 2134120104411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 15762 + ... + 1512702.

It is an arithmetic number, because the mean of its divisors is an integer number (51083145750).

Almost surely, 21144010214312 is an apocalyptic number.

1144010214312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144010214312 is an abundant number, since it is smaller than the sum of its proper divisors (2125311113688).

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

1144010214312 is a wasteful number, since it uses less digits than its factorization.

1144010214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501506 (or 1501502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1144010214312 its reverse (2134120104411), we get a palindrome (3278130318723).

The spelling of 1144010214312 in words is "one trillion, one hundred forty-four billion, ten million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4549 9098 13647 18196 27294 31843 36392 54588 63686 95529 109176 127372 191058 254744 382116 764232 1496941 2993882 4490823 5987764 8981646 10478587 11975528 17963292 20957174 31435761 35926584 41914348 62871522 83828696 125743044 251486088 6809584609 13619169218 20428753827 27238338436 40857507654 47667092263 54476676872 81715015308 95334184526 143001276789 163430030616 190668369052 286002553578 381336738104 572005107156 1144010214312