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14115214240 = 2551715134367
BaseRepresentation
bin11010010010101010…
…10001001110100000
31100102201021011210121
431021111101032200
5212401443323430
610252350010024
71006534225051
oct151125211640
940381234717
1014115214240
115a93741416
12289b1a6914
13143c44b69a
1497c908728
155792e0a7a
hex3495513a0

14115214240 has 96 divisors (see below), whose sum is σ = 35543660544. Its totient is φ = 5278617600.

The previous prime is 14115214231. The next prime is 14115214277. The reversal of 14115214240 is 4241251141.

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, 393537 + ... + 427903.

It is an arithmetic number, because the mean of its divisors is an integer number (370246464).

Almost surely, 214115214240 is an apocalyptic number.

14115214240 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 14115214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771830272).

14115214240 is an abundant number, since it is smaller than the sum of its proper divisors (21428446304).

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

14115214240 is a wasteful number, since it uses less digits than its factorization.

14115214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34550 (or 34542 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 14115214240 its reverse (4241251141), we get a palindrome (18356465381).

The spelling of 14115214240 in words is "fourteen billion, one hundred fifteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 151 160 170 272 302 340 544 604 680 755 1208 1360 1510 2416 2567 2720 3020 4832 5134 6040 10268 12080 12835 20536 24160 25670 34367 41072 51340 68734 82144 102680 137468 171835 205360 274936 343670 410720 549872 584239 687340 1099744 1168478 1374680 2336956 2749360 2921195 4673912 5189417 5498720 5842390 9347824 10378834 11684780 18695648 20757668 23369560 25947085 41515336 46739120 51894170 83030672 88220089 93478240 103788340 166061344 176440178 207576680 352880356 415153360 441100445 705760712 830306720 882200890 1411521424 1764401780 2823042848 3528803560 7057607120 14115214240