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14272721376 = 2531376411693
BaseRepresentation
bin11010100101011100…
…00111000111100000
31100211200122100222020
431102232013013200
5213212304041001
610320133541440
71013456062404
oct152256070740
940750570866
1014272721376
116064640901
122923aa4880
131465c78584
149957c9104
15588054736
hex352b871e0

14272721376 has 96 divisors (see below), whose sum is σ = 37820569248. Its totient is φ = 4712693760.

The previous prime is 14272721357. The next prime is 14272721387. The reversal of 14272721376 is 67312727241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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, 8429586 + ... + 8431278.

It is an arithmetic number, because the mean of its divisors is an integer number (393964263).

Almost surely, 214272721376 is an apocalyptic number.

14272721376 is a gapful number since it is divisible by the number (16) 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 14272721376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910284624).

14272721376 is an abundant number, since it is smaller than the sum of its proper divisors (23547847872).

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

14272721376 is a wasteful number, since it uses less digits than its factorization.

14272721376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The spelling of 14272721376 in words is "fourteen billion, two hundred seventy-two million, seven hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 641 822 1096 1282 1644 1693 1923 2192 2564 3288 3386 3846 4384 5079 5128 6576 6772 7692 10158 10256 13152 13544 15384 20316 20512 27088 30768 40632 54176 61536 81264 87817 162528 175634 231941 263451 351268 463882 526902 695823 702536 927764 1053804 1085213 1391646 1405072 1855528 2107608 2170426 2783292 2810144 3255639 3711056 4215216 4340852 5566584 6511278 7422112 8430432 8681704 11133168 13022556 17363408 22266336 26045112 34726816 52090224 104180448 148674181 297348362 446022543 594696724 892045086 1189393448 1784090172 2378786896 3568180344 4757573792 7136360688 14272721376