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4044210213040 = 2451571579203921
BaseRepresentation
bin111010110110011101101…
…101101001000010110000
3112022121210222000012221221
4322312131231221002300
51012230020303304130
612333515020154424
7565120204422364
oct72663555510260
915277728005857
104044210213040
11131a15a262018
12553965998a14
132344a11c14ca
14dda52b412a4
15702ec3dc87a
hex3ad9db690b0

4044210213040 has 80 divisors (see below), whose sum is σ = 9468718382880. Its totient is φ = 1606354513920.

The previous prime is 4044210212993. The next prime is 4044210213059. The reversal of 4044210213040 is 403120124404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4044210212996 and 4044210213014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19730280 + ... + 19934200.

It is an arithmetic number, because the mean of its divisors is an integer number (118358979786).

Almost surely, 24044210213040 is an apocalyptic number.

4044210213040 is a gapful number since it is divisible by the number (40) 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 4044210213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734359191440).

4044210213040 is an abundant number, since it is smaller than the sum of its proper divisors (5424508169840).

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

4044210213040 is a wasteful number, since it uses less digits than its factorization.

4044210213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205670 (or 205664 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4044210213040 its reverse (403120124404), we get a palindrome (4447330337444).

The spelling of 4044210213040 in words is "four trillion, forty-four billion, two hundred ten million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 1579 2512 3140 3158 6280 6316 7895 12560 12632 15790 25264 31580 63160 126320 203921 247903 407842 495806 815684 991612 1019605 1239515 1631368 1983224 2039210 2479030 3262736 3966448 4078420 4958060 8156840 9916120 16313680 19832240 32015597 64031194 128062388 160077985 256124776 320155970 321991259 512249552 640311940 643982518 1280623880 1287965036 1609956295 2561247760 2575930072 3219912590 5151860144 6439825180 12879650360 25759300720 50552627663 101105255326 202210510652 252763138315 404421021304 505526276630 808842042608 1011052553260 2022105106520 4044210213040