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444312140100430 = 257193671732152553
BaseRepresentation
bin110010100000110010111101…
…1010001111011001101001110
32011021011211021222112212010211
41211001211323101323031032
5431214102230331203210
64212550102422553034
7162405331013050510
oct14501457321731516
92137154258485124
10444312140100430
111196317a1990788
12419ba80489877a
13160bc5bb918304
147ba0b72651bb0
1536578a21ab38a
hex194197b47b34e

444312140100430 has 128 divisors (see below), whose sum is σ = 964815156817920. Its totient is φ = 143913643591680.

The previous prime is 444312140100391. The next prime is 444312140100443. The reversal of 444312140100430 is 34001041213444.

It is a junction number, because it is equal to n+sod(n) for n = 444312140100392 and 444312140100401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8454527034 + ... + 8454579586.

It is an arithmetic number, because the mean of its divisors is an integer number (7537618412640).

Almost surely, 2444312140100430 is an apocalyptic number.

444312140100430 is an abundant number, since it is smaller than the sum of its proper divisors (520503016717490).

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

444312140100430 is a wasteful number, since it uses less digits than its factorization.

444312140100430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70274.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 444312140100430 its reverse (34001041213444), we get a palindrome (478313181313874).

The spelling of 444312140100430 in words is "four hundred forty-four trillion, three hundred twelve billion, one hundred forty million, one hundred thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 367 665 734 1330 1835 2569 3670 5138 6973 12845 13946 17321 25690 34642 34865 48811 52553 69730 86605 97622 105106 121247 173210 242494 244055 262765 329099 367871 488110 525530 606235 658198 735742 998507 1212470 1645495 1839355 1997014 2303693 3290990 3678710 4607386 4992535 6356807 6989549 9985070 11518465 12713614 13979098 19286951 23036930 31784035 34947745 38573902 44497649 63568070 69895490 88995298 96434755 120779333 135008657 192869510 222488245 241558666 270017314 366452069 444976490 603896665 675043285 732904138 845455331 910270513 1207793330 1350086570 1690910662 1820541026 1832260345 2565164483 3664520690 4227276655 4551352565 5130328966 6371893591 8454553310 9102705130 12743787182 12825822415 17295139747 25651644830 31859467955 34590279494 63718935910 86475698735 121065978229 172951397470 242131956458 334069278271 605329891145 668138556542 1210659782290 1670346391355 2338484947897 3340692782710 4676969895794 6347316287149 11692424739485 12694632574298 23384849478970 31736581435745 44431214010043 63473162871490 88862428020086 222156070050215 444312140100430