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4224114213440 = 265115920339533
BaseRepresentation
bin111101011110000000110…
…100111100001001000000
3112221211011210010100111212
4331132000310330021000
51023201441214312230
612552310431225252
7614116326251312
oct75360064741100
915854153110455
104224114213440
111389489395290
125827b3378228
13248441c93054
1410863bcab7b2
1574d2b481895
hex3d780d3c240

4224114213440 has 112 divisors (see below), whose sum is σ = 11159081933760. Its totient is φ = 1510006855680.

The previous prime is 4224114213409. The next prime is 4224114213443. The reversal of 4224114213440 is 443124114224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4224114213397 and 4224114213406.

It is not an unprimeable number, because it can be changed into a prime (4224114213443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9962087 + ... + 10377446.

Almost surely, 24224114213440 is an apocalyptic number.

4224114213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224114213440 is an abundant number, since it is smaller than the sum of its proper divisors (6934967720320).

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

4224114213440 is a wasteful number, since it uses less digits than its factorization.

4224114213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339620 (or 20339610 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4224114213440 its reverse (443124114224), we get a palindrome (4667238327664).

The spelling of 4224114213440 in words is "four trillion, two hundred twenty-four billion, one hundred fourteen million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 9440 10384 12980 18880 20768 25960 41536 51920 103840 207680 20339533 40679066 81358132 101697665 162716264 203395330 223734863 325432528 406790660 447469726 650865056 813581320 894939452 1118674315 1200032447 1301730112 1627162640 1789878904 2237348630 2400064894 3254325280 3579757808 4474697260 4800129788 6000162235 6508650560 7159515616 8949394520 9600259576 12000324470 13200356917 14319031232 17898789040 19200519152 24000648940 26400713834 35797578080 38401038304 48001297880 52801427668 66001784585 71595156160 76802076608 96002595760 105602855336 132003569170 192005191520 211205710672 264007138340 384010383040 422411421344 528014276680 844822842688 1056028553360 2112057106720 4224114213440