Search a number
-
+
14022734100 = 22352103145337
BaseRepresentation
bin11010000111101000…
…11111000100010100
31100012021020200220020
431003310133010110
5212204304442400
610235243505140
71004332162464
oct150364370424
940167220806
1014022734100
115a46516751
1228742281b0
13142623b8cb
14970513ba4
155711242a0
hex343d1f114

14022734100 has 72 divisors (see below), whose sum is σ = 40612692288. Its totient is φ = 3735686400.

The previous prime is 14022734071. The next prime is 14022734111. The reversal of 14022734100 is 143722041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286632 + ... + 331968.

Almost surely, 214022734100 is an apocalyptic number.

14022734100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022734100 is an abundant number, since it is smaller than the sum of its proper divisors (26589958188).

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

14022734100 is a wasteful number, since it uses less digits than its factorization.

14022734100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46385 (or 46378 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 14022734100 in words is "fourteen billion, twenty-two million, seven hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1031 2062 3093 4124 5155 6186 10310 12372 15465 20620 25775 30930 45337 51550 61860 77325 90674 103100 136011 154650 181348 226685 272022 309300 453370 544044 680055 906740 1133425 1360110 2266850 2720220 3400275 4533700 6800550 13601100 46742447 93484894 140227341 186969788 233712235 280454682 467424470 560909364 701136705 934848940 1168561175 1402273410 2337122350 2804546820 3505683525 4674244700 7011367050 14022734100