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424233311320 = 235721321280743
BaseRepresentation
bin1100010110001100100…
…01101001110001011000
31111120000112211010122201
412023012101221301120
523422312211430240
6522520132055544
742435616435300
oct6130621516130
91446015733581
10424233311320
11153a0970a915
126a276a645b4
133100b085c00
14167667b2600
15b07e123d9a
hex62c6469c58

424233311320 has 144 divisors (see below), whose sum is σ = 1202349659760. Its totient is φ = 134262745344.

The previous prime is 424233311287. The next prime is 424233311347. The reversal of 424233311320 is 23113332424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 35 ways as a sum of consecutive naturals, for example, 309132 + ... + 971611.

It is an arithmetic number, because the mean of its divisors is an integer number (8349650415).

Almost surely, 2424233311320 is an apocalyptic number.

424233311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424233311320 is an abundant number, since it is smaller than the sum of its proper divisors (778116348440).

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

424233311320 is a wasteful number, since it uses less digits than its factorization.

424233311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280794 (or 1280770 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 424233311320 its reverse (23113332424), we get a palindrome (447346643744).

The spelling of 424233311320 in words is "four hundred twenty-four billion, two hundred thirty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1690 1820 1960 2366 2548 3185 3380 3640 4732 5096 5915 6370 6760 8281 9464 11830 12740 16562 23660 25480 33124 41405 47320 66248 82810 165620 331240 1280743 2561486 5122972 6403715 8965201 10245944 12807430 16649659 17930402 25614860 33299318 35860804 44826005 51229720 62756407 66598636 71721608 83248295 89652010 116547613 125512814 133197272 166496590 179304020 216445567 233095226 251025628 313782035 332993180 358608040 432891134 466190452 502051256 582738065 627564070 665986360 815833291 865782268 932380904 1082227835 1165476130 1255128140 1515118969 1631666582 1731564536 2164455670 2330952260 2510256280 3030237938 3263333164 4079166455 4328911340 4661904520 6060475876 6526666328 7575594845 8158332910 8657822680 10605832783 12120951752 15151189690 16316665820 21211665566 30302379380 32633331640 42423331132 53029163915 60604758760 84846662264 106058327830 212116655660 424233311320