Search a number
-
+
444131432330124 = 2237113177831512547
BaseRepresentation
bin110010011111011110110100…
…0010000011111001110001100
32011020112112212010222222120010
41210332331220100133032030
5431203122133134030444
64212331055140153220
7162356302631254230
oct14476755020371614
92136475763888503
10444131432330124
111195720a0082270
124198b792098810
13160a8550473986
147b9610c8585c0
153652d277982b9
hex193ef6841f38c

444131432330124 has 96 divisors (see below), whose sum is σ = 1292023632162816. Its totient is φ = 115358374313280.

The previous prime is 444131432330123. The next prime is 444131432330149. The reversal of 444131432330124 is 421033234131444.

It is not an unprimeable number, because it can be changed into a prime (444131432330123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292875219 + ... + 294387765.

It is an arithmetic number, because the mean of its divisors is an integer number (13458579501696).

Almost surely, 2444131432330124 is an apocalyptic number.

444131432330124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444131432330124 is an abundant number, since it is smaller than the sum of its proper divisors (847892199832692).

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

444131432330124 is a wasteful number, since it uses less digits than its factorization.

444131432330124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830355 (or 1830353 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 444131432330124 its reverse (421033234131444), we get a palindrome (865164666461568).

The spelling of 444131432330124 in words is "four hundred forty-four trillion, one hundred thirty-one billion, four hundred thirty-two million, three hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 317783 635566 953349 1271132 1512547 1906698 2224481 3025094 3495613 3813396 4448962 4537641 6050188 6673443 6991226 8897924 9075282 10486839 10587829 13346886 13982452 16638017 18150564 20973678 21175658 24469291 26693772 31763487 33276034 41947356 42351316 48938582 49914051 63526974 66552068 73407873 97877164 99828102 116466119 127053948 146815746 199656204 232932238 293631492 349398357 465864476 698796714 1397593428 480661723301 961323446602 1441985169903 1922646893204 2883970339806 3364632063107 5287278956311 5767940679612 6729264126214 10093896189321 10574557912622 13458528252428 15861836868933 20187792378642 21149115825244 31723673737866 37010952694177 40375584757284 63447347475732 74021905388354 111032858082531 148043810776708 222065716165062 444131432330124