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14364413140 = 22571141227501
BaseRepresentation
bin11010110000010111…
…11000110011010100
31101002002011210102111
431120023320303110
5213404242210030
610333211120404
71015651332340
oct153013706324
941062153374
1014364413140
116101378220
12294a743104
13147bc7055c
149a3a56620
1559111762a
hex3582f8cd4

14364413140 has 96 divisors (see below), whose sum is σ = 38526098688. Its totient is φ = 4368000000.

The previous prime is 14364413137. The next prime is 14364413149. The reversal of 14364413140 is 4131446341.

14364413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364413149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50611 + ... + 176890.

It is an arithmetic number, because the mean of its divisors is an integer number (401313528).

Almost surely, 214364413140 is an apocalyptic number.

14364413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14364413140 is an abundant number, since it is smaller than the sum of its proper divisors (24161685548).

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

14364413140 is a wasteful number, since it uses less digits than its factorization.

14364413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227569 (or 227567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 14364413140 its reverse (4131446341), we get a palindrome (18495859481).

The spelling of 14364413140 in words is "fourteen billion, three hundred sixty-four million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 4510 5740 6314 9020 12628 15785 31570 63140 227501 455002 910004 1137505 1592507 2275010 2502511 3185014 4550020 5005022 6370028 7962535 9327541 10010044 12512555 15925070 17517577 18655082 25025110 31850140 35035154 37310164 46637705 50050220 65292787 70070308 87587885 93275410 102602951 130585574 175175770 186550820 205205902 261171148 326463935 350351540 410411804 513014755 652927870 718220657 1026029510 1305855740 1436441314 2052059020 2872882628 3591103285 7182206570 14364413140