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14137142320 = 2457227111211
BaseRepresentation
bin11010010101010001…
…11010110000110000
31100111020112020110201
431022220322300300
5212423102023240
610254452004544
71010221504240
oct151250726060
940436466421
1014137142320
115aa50592a4
1228a6600754
131443b58592
149817b5b20
1557b1c2d9a
hex34aa3ac30

14137142320 has 80 divisors (see below), whose sum is σ = 37730227968. Its totient is φ = 4825624320.

The previous prime is 14137142273. The next prime is 14137142321. The reversal of 14137142320 is 2324173141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14137142321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71515 + ... + 182725.

Almost surely, 214137142320 is an apocalyptic number.

14137142320 is a gapful number since it is divisible by the number (10) 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 14137142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865113984).

14137142320 is an abundant number, since it is smaller than the sum of its proper divisors (23593085648).

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

14137142320 is a wasteful number, since it uses less digits than its factorization.

14137142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111458 (or 111452 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 14137142320 in words is "fourteen billion, one hundred thirty-seven million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 227 280 454 560 908 1135 1589 1816 2270 3178 3632 4540 6356 7945 9080 12712 15890 18160 25424 31780 63560 111211 127120 222422 444844 556055 778477 889688 1112110 1556954 1779376 2224220 3113908 3892385 4448440 6227816 7784770 8896880 12455632 15569540 25244897 31139080 50489794 62278160 100979588 126224485 176714279 201959176 252448970 353428558 403918352 504897940 706857116 883571395 1009795880 1413714232 1767142790 2019591760 2827428464 3534285580 7068571160 14137142320