Search a number
-
+
4021444442120 = 235773319739931
BaseRepresentation
bin111010100001010000110…
…001000111100000001000
3112020110001101012020021012
4322201100301013200020
51011341404234121440
612315232010503052
7563353066521410
oct72412061074010
915213041166235
104021444442120
111310537604406
1254b471734a88
132322b3812541
14dc8d33c5640
156e918948e65
hex3a850c47808

4021444442120 has 128 divisors (see below), whose sum is σ = 10361256272640. Its totient is φ = 1376063493120.

The previous prime is 4021444442053. The next prime is 4021444442129. The reversal of 4021444442120 is 212444441204.

It is not an unprimeable number, because it can be changed into a prime (4021444442129) 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, 404933555 + ... + 404943485.

It is an arithmetic number, because the mean of its divisors is an integer number (80947314630).

Almost surely, 24021444442120 is an apocalyptic number.

4021444442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021444442120 is an abundant number, since it is smaller than the sum of its proper divisors (6339811830520).

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

4021444442120 is a wasteful number, since it uses less digits than its factorization.

4021444442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12655 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4021444442120 its reverse (212444441204), we get a palindrome (4233888883324).

The spelling of 4021444442120 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 733 1466 1973 2932 3665 3946 5131 5864 7330 7892 9865 9931 10262 13811 14660 15784 19730 19862 20524 25655 27622 29320 39460 39724 41048 49655 51310 55244 69055 69517 78920 79448 99310 102620 110488 138110 139034 198620 205240 276220 278068 347585 397240 552440 556136 695170 1390340 1446209 2780680 2892418 5784836 7231045 7279423 10123463 11569672 14462090 14558846 19593863 20246926 28924180 29117692 36397115 39187726 40493852 50617315 50955961 57848360 58235384 72794230 78375452 80987704 97969315 101234630 101911922 137157041 145588460 156750904 195938630 202469260 203823844 254779805 274314082 291176920 391877260 404938520 407647688 509559610 548628164 685785205 783754520 1019119220 1097256328 1371570410 2038238440 2743140820 5486281640 14362301579 28724603158 57449206316 71811507895 100536111053 114898412632 143623015790 201072222106 287246031580 402144444212 502680555265 574492063160 804288888424 1005361110530 2010722221060 4021444442120