Search a number
-
+
14211312240 = 2435371600373
BaseRepresentation
bin11010011110000111…
…10110101001110000
31100200102002110110210
431033003312221300
5213101043442430
610310101424120
71012112106126
oct151703665160
940612073423
1014211312240
116032a08254
12290740b040
1314563270c8
1498b5a1916
155829742b0
hex34f0f6a70

14211312240 has 80 divisors (see below), whose sum is σ = 45245773728. Its totient is φ = 3687257088.

The previous prime is 14211312239. The next prime is 14211312259. The reversal of 14211312240 is 4221311241.

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

It is a super-2 number, since 2×142113122402 (a number of 21 digits) contains 22 as substring.

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, 791307 + ... + 809066.

Almost surely, 214211312240 is an apocalyptic number.

14211312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14211312240 is an abundant number, since it is smaller than the sum of its proper divisors (31034461488).

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

14211312240 is a wasteful number, since it uses less digits than its factorization.

14211312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600426 (or 1600420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14211312240 its reverse (4221311241), we get a palindrome (18432623481).

Subtracting from 14211312240 its reverse (4221311241), we obtain a palindrome (9990000999).

The spelling of 14211312240 in words is "fourteen billion, two hundred eleven million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 1600373 3200746 4801119 6401492 8001865 9602238 12802984 16003730 19204476 24005595 25605968 32007460 38408952 48011190 59213801 64014920 76817904 96022380 118427602 128029840 177641403 192044760 236855204 296069005 355282806 384089520 473710408 592138010 710565612 888207015 947420816 1184276020 1421131224 1776414030 2368552040 2842262448 3552828060 4737104080 7105656120 14211312240