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244313132410000 = 2454171437136073
BaseRepresentation
bin110111100011001110010101…
…011110001010010010010000
31012001001002220021010100101201
4313203032111132022102100
5224010311243344110000
62223335523102040544
7102314020114063543
oct6743162536122220
91161032807110351
10244313132410000
1170933688019295
1223499631879154
13a642825103074
144448b6673685a
151d3a22a2ce96a
hexde339578a490

244313132410000 has 100 divisors (see below), whose sum is σ = 626301026777052. Its totient is φ = 91976708608000.

The previous prime is 244313132409971. The next prime is 244313132410001. The reversal of 244313132410000 is 14231313442.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 183866114956176 + 60447017453824 = 13559724^2 + 7774768^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (244313132410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 718398037 + ... + 718738036.

Almost surely, 2244313132410000 is an apocalyptic number.

244313132410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244313132410000 is an abundant number, since it is smaller than the sum of its proper divisors (381987894367052).

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

244313132410000 is a wasteful number, since it uses less digits than its factorization.

244313132410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437136118 (or 1437136097 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 244313132410000 its reverse (14231313442), we get a palindrome (244327363723442).

The spelling of 244313132410000 in words is "two hundred forty-four trillion, three hundred thirteen billion, one hundred thirty-two million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 1437136073 2874272146 5748544292 7185680365 11497088584 14371360730 22994177168 24431313241 28742721460 35928401825 48862626482 57485442920 71856803650 97725252964 114970885840 122156566205 143713607300 179642009125 195450505928 244313132410 287427214600 359284018250 390901011856 488626264820 574854429200 610782831025 718568036500 898210045625 977252529640 1221565662050 1437136073000 1796420091250 1954505059280 2443131324100 2874272146000 3053914155125 3592840182500 4886262648200 6107828310250 7185680365000 9772525296400 12215656620500 14371360730000 15269570775625 24431313241000 30539141551250 48862626482000 61078283102500 122156566205000 244313132410000