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4021444431312 = 24371110710168721
BaseRepresentation
bin111010100001010000110…
…001000100110111010000
3112020110001101011200102220
4322201100301010313100
51011341404233300222
612315232010341040
7563353066445040
oct72412061046720
915213041150386
104021444431312
1113105375a7280
1254b47172a780
132322b380a649
14dc8d33c1720
156e918945b5c
hex3a850c44dd0

4021444431312 has 160 divisors (see below), whose sum is σ = 13073234402304. Its totient is φ = 1034768947200.

The previous prime is 4021444431281. The next prime is 4021444431353. The reversal of 4021444431312 is 2131344441204.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4688889 + ... + 5479832.

Almost surely, 24021444431312 is an apocalyptic number.

4021444431312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4021444431312 is an abundant number, since it is smaller than the sum of its proper divisors (9051789970992).

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

4021444431312 is a wasteful number, since it uses less digits than its factorization.

4021444431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168857 (or 10168851 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4021444431312 its reverse (2131344441204), we get a palindrome (6152788872516).

The spelling of 4021444431312 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 107 112 132 154 168 176 214 231 264 308 321 336 428 462 528 616 642 749 856 924 1177 1232 1284 1498 1712 1848 2247 2354 2568 2996 3531 3696 4494 4708 5136 5992 7062 8239 8988 9416 11984 14124 16478 17976 18832 24717 28248 32956 35952 49434 56496 65912 98868 131824 197736 395472 10168721 20337442 30506163 40674884 61012326 71181047 81349768 111855931 122024652 142362094 162699536 213543141 223711862 244049304 284724188 335567793 427086282 447423724 488098608 569448376 671135586 782991517 854172564 894847448 1088053147 1138896752 1342271172 1565983034 1708345128 1789694896 2176106294 2348974551 2684542344 3131966068 3264159441 3416690256 4352212588 4697949102 5369084688 6263932136 6528318882 7616372029 8704425176 9395898204 11968584617 12527864272 13056637764 15232744058 17408850352 18791796408 22849116087 23937169234 26113275528 30465488116 35905753851 37583592816 45698232174 47874338468 52226551056 60930976232 71811507702 83780092319 91396464348 95748676936 121861952464 143623015404 167560184638 182792928696 191497353872 251340276957 287246030808 335120369276 365585857392 502680553914 574492061616 670240738552 1005361107828 1340481477104 2010722215656 4021444431312