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4223321214040 = 2352310765476553
BaseRepresentation
bin111101011101010001100…
…011111000110001011000
3112221202010111221210211201
4331131101203320301120
51023143330212322130
612552100022403544
7614060560002565
oct75352143706130
915852114853751
104223321214040
1113891117a6085
125826118905b4
132483468c1736
141085a484586c
1574cd1a3dbca
hex3d7518f8c58

4223321214040 has 128 divisors (see below), whose sum is σ = 10011349301760. Its totient is φ = 1600288994304.

The previous prime is 4223321214019. The next prime is 4223321214071. The reversal of 4223321214040 is 404121233224.

It is a super-3 number, since 3×42233212140403 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644483404 + ... + 644489956.

It is an arithmetic number, because the mean of its divisors is an integer number (78213666420).

Almost surely, 24223321214040 is an apocalyptic number.

4223321214040 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 4223321214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005674650880).

4223321214040 is an abundant number, since it is smaller than the sum of its proper divisors (5788028087720).

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

4223321214040 is a wasteful number, since it uses less digits than its factorization.

4223321214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13241 (or 13237 counting only the distinct ones).

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

Adding to 4223321214040 its reverse (404121233224), we get a palindrome (4627442447264).

The spelling of 4223321214040 in words is "four trillion, two hundred twenty-three billion, three hundred twenty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2461 4280 4922 6547 6553 9844 12305 13094 13106 19688 24610 26188 26212 32735 32765 49220 52376 52424 65470 65530 98440 130940 131060 150581 150719 261880 262120 301162 301438 602324 602876 700529 701171 752905 753595 1204648 1205752 1401058 1402342 1505810 1507190 2802116 2804684 3011620 3014380 3502645 3505855 5604232 5609368 6023240 6028760 7005290 7011710 14010580 14023420 16112167 16126933 28021160 28046840 32224334 32253866 42902491 64448668 64507732 80560835 80634665 85804982 128897336 129015464 161121670 161269330 171609964 214512455 322243340 322538660 343219928 429024910 644486680 645077320 858049820 986757293 1716099640 1973514586 3947029172 4590566537 4933786465 7894058344 9181133074 9867572930 18362266148 19735145860 22952832685 36724532296 39470291720 45905665370 91811330740 105583030351 183622661480 211166060702 422332121404 527915151755 844664242808 1055830303510 2111660607020 4223321214040