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14024054000 = 2453113731709
BaseRepresentation
bin11010000111110011…
…00001010011110000
31100012100201202110102
431003321201103300
5212210124212000
610235332051532
71004346330545
oct150371412360
940170652412
1014024054000
115a47238380
122874763ba8
1314265b1608
14970778bcc
155712d53d5
hex343e614f0

14024054000 has 160 divisors (see below), whose sum is σ = 37113785280. Its totient is φ = 5083008000.

The previous prime is 14024053993. The next prime is 14024054003. The reversal of 14024054000 is 45042041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024054003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8205146 + ... + 8206854.

It is an arithmetic number, because the mean of its divisors is an integer number (231961158).

Almost surely, 214024054000 is an apocalyptic number.

14024054000 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 14024054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556892640).

14024054000 is an abundant number, since it is smaller than the sum of its proper divisors (23089731280).

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

14024054000 is a wasteful number, since it uses less digits than its factorization.

14024054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 14024054000 its reverse (45042041), we get a palindrome (14069096041).

The spelling of 14024054000 in words is "fourteen billion, twenty-four million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 373 400 440 500 550 746 880 1000 1100 1375 1492 1709 1865 2000 2200 2750 2984 3418 3730 4103 4400 5500 5968 6836 7460 8206 8545 9325 11000 13672 14920 16412 17090 18650 18799 20515 22000 27344 29840 32824 34180 37300 37598 41030 42725 46625 65648 68360 74600 75196 82060 85450 93250 93995 102575 136720 149200 150392 164120 170900 186500 187990 205150 213625 300784 328240 341800 373000 375980 410300 427250 469975 512875 637457 683600 746000 751960 820600 854500 939950 1025750 1274914 1503920 1641200 1709000 1879900 2051500 2349875 2549828 3187285 3418000 3759800 4103000 4699750 5099656 6374570 7012027 7519600 8206000 9399500 10199312 12749140 14024054 15936425 18799000 25498280 28048108 31872850 35060135 37598000 50996560 56096216 63745700 70120270 79682125 112192432 127491400 140240540 159364250 175300675 254982800 280481080 318728500 350601350 560962160 637457000 701202700 876503375 1274914000 1402405400 1753006750 2804810800 3506013500 7012027000 14024054000