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4021444443420 = 22325371169951613
BaseRepresentation
bin111010100001010000110…
…001000111110100011100
3112020110001101012022001100
4322201100301013310130
51011341404234142140
612315232010513100
7563353066525245
oct72412061076434
915213041168040
104021444443420
111310537605388
1254b471735790
132322b3813001
14dc8d33c5ccc
156e918949530
hex3a850c47d1c

4021444443420 has 144 divisors (see below), whose sum is σ = 12529381082400. Its totient is φ = 1043292400128.

The previous prime is 4021444443377. The next prime is 4021444443437. The reversal of 4021444443420 is 243444441204.

It is a happy number.

4021444443420 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 4 + 434 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77889534 + ... + 77941146.

It is an arithmetic number, because the mean of its divisors is an integer number (87009590850).

Almost surely, 24021444443420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021444443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264690541200).

4021444443420 is an abundant number, since it is smaller than the sum of its proper divisors (8507936638980).

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

4021444443420 is a wasteful number, since it uses less digits than its factorization.

4021444443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63364 (or 63359 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4021444443420 its reverse (243444441204), we get a palindrome (4264888884624).

The spelling of 4021444443420 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 11699 23398 35097 46796 51613 58495 70194 103226 105291 116990 140388 154839 175485 206452 210582 233980 258065 309678 350970 421164 432863 464517 516130 526455 619356 701940 774195 865726 929034 1032260 1052910 1298589 1548390 1731452 1858068 1909681 2105820 2164315 2322585 2597178 3096780 3819362 3895767 4328630 4645170 5194356 5729043 6492945 7638724 7791534 8657260 9290340 9548405 11458086 12985890 15583068 17187129 19096810 19478835 22916172 25971780 28645215 34374258 38193620 38957670 57290430 68748516 77915340 85935645 114580860 171871290 343742580 603820487 1207640974 1811461461 2415281948 3019102435 3622922922 5434384383 6038204870 7245845844 9057307305 10868768766 12076409740 18114614610 21737537532 22341358019 27171921915 36229229220 44682716038 54343843830 67024074057 89365432076 108687687660 111706790095 134048148114 201072222171 223413580190 268096296228 335120370285 402144444342 446827160380 670240740570 804288888684 1005361110855 1340481481140 2010722221710 4021444443420