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14012244231400 = 23521016411082177
BaseRepresentation
bin1100101111100111101011…
…0101110000010011101000
31211121120001101121100121101
43023321322311300103220
53314034034010401100
645445045223251144
72644231321532152
oct313717265602350
954546041540541
1014012244231400
11451261762a998
1216a38002a9ab4
137a846c88b59c
143662a66a3ad2
15194755d1386a
hexcbe7ad704e8

14012244231400 has 96 divisors (see below), whose sum is σ = 32952385030680. Its totient is φ = 5540741120000.

The previous prime is 14012244231397. The next prime is 14012244231421. The reversal of 14012244231400 is 413244221041.

It can be written as a sum of positive squares in 12 ways, for example, as 7004036352196 + 7008207879204 = 2646514^2 + 2647302^2 .

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, 12407112 + ... + 13489288.

Almost surely, 214012244231400 is an apocalyptic number.

14012244231400 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 14012244231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476192515340).

14012244231400 is an abundant number, since it is smaller than the sum of its proper divisors (18940140799280).

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

14012244231400 is a wasteful number, since it uses less digits than its factorization.

14012244231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082935 (or 1082926 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14012244231400 its reverse (413244221041), we get a palindrome (14425488452441).

The spelling of 14012244231400 in words is "fourteen trillion, twelve billion, two hundred forty-four million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 641 808 1010 1282 2020 2525 2564 3205 4040 5050 5128 6410 10100 12820 16025 20200 25640 32050 64100 64741 128200 129482 258964 323705 517928 647410 1082177 1294820 1618525 2164354 2589640 3237050 4328708 5410885 6474100 8657416 10821770 12948200 21643540 27054425 43287080 54108850 108217700 109299877 216435400 218599754 437199508 546499385 693675457 874399016 1092998770 1387350914 2185997540 2732496925 2774701828 3468377285 4371995080 5464993850 5549403656 6936754570 10929987700 13873509140 17341886425 21859975400 27747018280 34683772850 69367545700 70061221157 138735091400 140122442314 280244884628 350306105785 560489769256 700612211570 1401224423140 1751530528925 2802448846280 3503061057850 7006122115700 14012244231400