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4223403101440 = 28519267764871
BaseRepresentation
bin111101011101010110011…
…100010000110100000000
3112221202100020001010020101
4331131112130100310000
51023144012143221230
612552112105452144
7614062603016425
oct75352634206400
915852306033211
104223403101440
111389153a46316
125826351a1054
1324835a862c13
141085b167dd4c
1574cd8d16aca
hex3d756710d00

4223403101440 has 144 divisors (see below), whose sum is σ = 10652952885120. Its totient is φ = 1599824977920.

The previous prime is 4223403101431. The next prime is 4223403101447. The reversal of 4223403101440 is 441013043224.

It is a junction number, because it is equal to n+sod(n) for n = 4223403101399 and 4223403101408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223403101447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65072205 + ... + 65137075.

It is an arithmetic number, because the mean of its divisors is an integer number (73978839480).

Almost surely, 24223403101440 is an apocalyptic number.

4223403101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223403101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326476442560).

4223403101440 is an abundant number, since it is smaller than the sum of its proper divisors (6429549783680).

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

4223403101440 is a wasteful number, since it uses less digits than its factorization.

4223403101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67588 (or 67574 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4223403101440 its reverse (441013043224), we get a palindrome (4664416144664).

The spelling of 4223403101440 in words is "four trillion, two hundred twenty-three billion, four hundred three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 2677 3040 4864 5354 6080 10708 12160 13385 21416 24320 26770 42832 50863 53540 64871 85664 101726 107080 129742 171328 203452 214160 254315 259484 324355 342656 406904 428320 508630 518968 648710 685312 813808 856640 1017260 1037936 1232549 1297420 1627616 1713280 2034520 2075872 2465098 2594840 3255232 3426560 4069040 4151744 4930196 5189680 6162745 6510464 8138080 8303488 9860392 10379360 12325490 13020928 16276160 16606976 19720784 20758720 24650980 32552320 39441568 41517440 49301960 65104640 78883136 83034880 98603920 157766272 173659667 197207840 315532544 347319334 394415680 694638668 788831360 868298335 1389277336 1577662720 1736596670 2778554672 3299533673 3473193340 5557109344 6599067346 6946386680 11114218688 13198134692 13892773360 16497668365 22228437376 26396269384 27785546720 32995336730 44456874752 52792538768 55571093440 65990673460 105585077536 111142186880 131981346920 211170155072 222284373760 263962693840 422340310144 527925387680 844680620288 1055850775360 2111701550720 4223403101440