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4021444412304 = 2431129262633517
BaseRepresentation
bin111010100001010000110…
…001000000001110010000
3112020110001101010201100220
4322201100301000032100
51011341404232143204
612315232010113040
7563353066335444
oct72412061001620
915213041121326
104021444412304
111310537593a70
1254b47171b780
132322b3801ab7
14dc8d33b8824
156e9189401d9
hex3a850c40390

4021444412304 has 80 divisors (see below), whose sum is σ = 11723960243520. Its totient is φ = 1176598151680.

The previous prime is 4021444412257. The next prime is 4021444412329. The reversal of 4021444412304 is 4032144441204.

It is a super-2 number, since 2×40214444123042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 131301447 + ... + 131332070.

It is an arithmetic number, because the mean of its divisors is an integer number (146549503044).

Almost surely, 24021444412304 is an apocalyptic number.

4021444412304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4021444412304 is an abundant number, since it is smaller than the sum of its proper divisors (7702515831216).

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

4021444412304 is a wasteful number, since it uses less digits than its factorization.

4021444412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262633568 (or 262633562 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4021444412304 its reverse (4032144441204), we get a palindrome (8053588853508).

The spelling of 4021444412304 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 15312 262633517 525267034 787900551 1050534068 1575801102 2101068136 2888968687 3151602204 4202136272 5777937374 6303204408 7616371993 8666906061 11555874748 12606408816 15232743986 17333812122 22849115979 23111749496 30465487972 34667624244 45698231958 46223498992 60930975944 69335248488 83780091923 91396463916 121861951888 138670496976 167560183846 182792927832 251340275769 335120367692 365585855664 502680551538 670240735384 1005361103076 1340481470768 2010722206152 4021444412304