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1425351114400 = 255217235144579
BaseRepresentation
bin10100101111011101100…
…010111111111010100000
312001021002011120211200211
4110233131202333322200
5141323104341130100
63010444113023504
7204656346366403
oct24573542777240
95037064524624
101425351114400
114aa5405aa804
121b02ab254b94
13a4543ac6895
144cdb746dd3a
1527123a8b1ba
hex14bdd8bfea0

1425351114400 has 144 divisors (see below), whose sum is σ = 3685972832640. Its totient is φ = 536362496000.

The previous prime is 1425351114377. The next prime is 1425351114401. The reversal of 1425351114400 is 44111535241.

It is not an unprimeable number, because it can be changed into a prime (1425351114401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31951311 + ... + 31995889.

It is an arithmetic number, because the mean of its divisors is an integer number (25597033560).

Almost surely, 21425351114400 is an apocalyptic number.

1425351114400 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 1425351114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842986416320).

1425351114400 is an abundant number, since it is smaller than the sum of its proper divisors (2260621718240).

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

1425351114400 is a wasteful number, since it uses less digits than its factorization.

1425351114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46967 (or 46954 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 1425351114400 its reverse (44111535241), we get a palindrome (1469462649641).

The spelling of 1425351114400 in words is "one trillion, four hundred twenty-five billion, three hundred fifty-one million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2351 2720 3400 4702 6800 9404 11755 13600 18808 23510 37616 39967 44579 47020 58775 75232 79934 89158 94040 117550 159868 178316 188080 199835 222895 235100 319736 356632 376160 399670 445790 470200 639472 713264 757843 799340 891580 940400 999175 1114475 1278944 1426528 1515686 1598680 1783160 1880800 1998350 2228950 3031372 3197360 3566320 3789215 3996700 4457900 6062744 6394720 7132640 7578430 7993400 8915800 12125488 15156860 15986800 17831600 18946075 24250976 30313720 31973600 35663200 37892150 60627440 75784300 104805229 121254880 151568600 209610458 303137200 419220916 524026145 606274400 838441832 1048052290 1676883664 1781688893 2096104580 2620130725 3353767328 3563377786 4192209160 5240261450 7126755572 8384418320 8908444465 10480522900 14253511144 16768836640 17816888930 20961045800 28507022288 35633777860 41922091600 44542222325 57014044576 71267555720 83844183200 89084444650 142535111440 178168889300 285070222880 356337778600 712675557200 1425351114400