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14100540340 = 22531195111657
BaseRepresentation
bin11010010000111010…
…10010101110110100
31100101200122122222211
431020131102232310
5212334214242330
610251103303204
71006265421025
oct151035225664
940350578884
1014100540340
115a86429727
1228962aab04
1314393b15c3
1497a9a8c4c
15577d92d2a
hex348752bb4

14100540340 has 48 divisors (see below), whose sum is σ = 30584623104. Its totient is φ = 5455008000.

The previous prime is 14100540329. The next prime is 14100540347. The reversal of 14100540340 is 4304500141.

14100540340 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 (14100540347) 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 15 ways as a sum of consecutive naturals, for example, 1203792 + ... + 1215448.

It is an arithmetic number, because the mean of its divisors is an integer number (637179648).

Almost surely, 214100540340 is an apocalyptic number.

14100540340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100540340 is an abundant number, since it is smaller than the sum of its proper divisors (16484082764).

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

14100540340 is a wasteful number, since it uses less digits than its factorization.

14100540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 14100540340 in words is "fourteen billion, one hundred million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1951 3902 7804 9755 11657 19510 23314 39020 46628 58285 60481 116570 120962 233140 241924 302405 361367 604810 722734 1209620 1445468 1806835 3613670 7227340 22742807 45485614 90971228 113714035 227428070 454856140 705027017 1410054034 2820108068 3525135085 7050270170 14100540340