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441113122421020 = 225723572796147809
BaseRepresentation
bin110010001001100001010011…
…0111101111011100100011100
32010211212000001221101221201101
41210103002212331323210130
5430304144133314433040
64202100323151522444
7161625241250325010
oct14423024675734434
92124760057357641
10441113122421020
1111860902a8a1905
1241582818229424
1315c19a3445633a
147acddbbd02540
1535ee57088109a
hex19130a6f7b91c

441113122421020 has 96 divisors (see below), whose sum is σ = 1059180686847360. Its totient is φ = 151166050467840.

The previous prime is 441113122421009. The next prime is 441113122421029. The reversal of 441113122421020 is 20124221311144.

It is a super-2 number, since 2×4411131224210202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 441113122421020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441113122421029) 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, 9226546876 + ... + 9226594684.

It is an arithmetic number, because the mean of its divisors is an integer number (11033132154660).

Almost surely, 2441113122421020 is an apocalyptic number.

It is an amenable number.

441113122421020 is an abundant number, since it is smaller than the sum of its proper divisors (618067564426340).

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

441113122421020 is a wasteful number, since it uses less digits than its factorization.

441113122421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78143 (or 78141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 441113122421020 its reverse (20124221311144), we get a palindrome (461237343732164).

The spelling of 441113122421020 in words is "four hundred forty-one trillion, one hundred thirteen billion, one hundred twenty-two million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2357 4714 9428 11785 16499 23570 27961 32998 47140 47809 55922 65996 82495 95618 111844 139805 164990 191236 195727 239045 279610 329980 334663 391454 478090 559220 669326 782908 956180 978635 1338652 1673315 1957270 3346630 3914540 6693260 65904077 112685813 131808154 225371626 263616308 329520385 450743252 461328539 563429065 659040770 788800691 922657078 1126858130 1318081540 1336787449 1577601382 1845314156 2253716260 2306642695 2673574898 3155202764 3944003455 4613285390 5347149796 6683937245 7888006910 9226570780 9357512143 13367874490 15776013820 18715024286 26735748980 37430048572 46787560715 93575121430 187150242860 3150808017293 6301616034586 12603232069172 15754040086465 22055656121051 31508080172930 44111312242102 63016160345860 88222624484204 110278280605255 220556561210510 441113122421020