Search a number
-
+
1422234114400 = 255211712276303
BaseRepresentation
bin10100101100100011110…
…000100101100101100000
312000222000221101211112101
4110230203300211211200
5141300213413130100
63005210524540144
7204516200336011
oct24544360454540
95028027354471
101422234114400
114a9191097550
121ab77b3b1654
13a41680c8a98
144cb9d4cd008
1526ee00d586a
hex14b23c25960

1422234114400 has 144 divisors (see below), whose sum is σ = 3841017159168. Its totient is φ = 509891648000.

The previous prime is 1422234114397. The next prime is 1422234114443. The reversal of 1422234114400 is 44114322241.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 513352 + ... + 1762951.

It is an arithmetic number, because the mean of its divisors is an integer number (26673730272).

Almost surely, 21422234114400 is an apocalyptic number.

1422234114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1422234114400 is an abundant number, since it is smaller than the sum of its proper divisors (2418783044768).

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

1422234114400 is a wasteful number, since it uses less digits than its factorization.

1422234114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276405 (or 2276392 counting only the distinct ones).

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

Adding to 1422234114400 its reverse (44114322241), we get a palindrome (1466348436641).

The spelling of 1422234114400 in words is "one trillion, four hundred twenty-two billion, two hundred thirty-four million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 71 80 88 100 110 142 160 176 200 220 275 284 352 355 400 440 550 568 710 781 800 880 1100 1136 1420 1562 1760 1775 2200 2272 2840 3124 3550 3905 4400 5680 6248 7100 7810 8800 11360 12496 14200 15620 19525 24992 28400 31240 39050 56800 62480 78100 124960 156200 312400 624800 2276303 4552606 9105212 11381515 18210424 22763030 25039333 36420848 45526060 50078666 56907575 72841696 91052120 100157332 113815150 125196665 161617513 182104240 200314664 227630300 250393330 323235026 364208480 400629328 455260600 500786660 625983325 646470052 801258656 808087565 910521200 1001573320 1251966650 1292940104 1616175130 1777792643 1821042400 2003146640 2503933300 2585880208 3232350260 3555585286 4006293280 4040437825 5007866600 5171760416 6464700520 7111170572 8080875650 8888963215 10015733200 12929401040 14222341144 16161751300 17777926430 20031466400 25858802080 28444682288 32323502600 35555852860 44444816075 56889364576 64647005200 71111705720 88889632150 129294010400 142223411440 177779264300 284446822880 355558528600 711117057200 1422234114400