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4233404323040 = 255229599192889
BaseRepresentation
bin111101100110101010100…
…011111001010011100000
3112222201011020002211002012
4331212222203321103200
51023330003001314130
613000444334412052
7614565464010044
oct75465243712340
915881136084065
104233404323040
111392416415112
12584566661028
1324929288a419
14108c7da40024
15751c1d66995
hex3d9aa8f94e0

4233404323040 has 96 divisors (see below), whose sum is σ = 10061913960000. Its totient is φ = 1683143774208.

The previous prime is 4233404323021. The next prime is 4233404323067. The reversal of 4233404323040 is 403234043324.

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 = 4233404322988 and 4233404323006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21850916 + ... + 22043804.

It is an arithmetic number, because the mean of its divisors is an integer number (104811603750).

Almost surely, 24233404323040 is an apocalyptic number.

4233404323040 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 4233404323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030956980000).

4233404323040 is an abundant number, since it is smaller than the sum of its proper divisors (5828509636960).

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

4233404323040 is a wasteful number, since it uses less digits than its factorization.

4233404323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193732 (or 193724 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 4233404323040 its reverse (403234043324), we get a palindrome (4636638366364).

The spelling of 4233404323040 in words is "four trillion, two hundred thirty-three billion, four hundred four million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 599 916 1145 1198 1832 2290 2396 2995 3664 4580 4792 5990 7328 9160 9584 11980 18320 19168 23960 36640 47920 95840 137171 192889 274342 385778 548684 685855 771556 964445 1097368 1371710 1543112 1928890 2194736 2743420 3086224 3857780 4389472 5486840 6172448 7715560 10973680 15431120 21947360 30862240 44171581 88343162 115540511 176686324 220857905 231081022 353372648 441715810 462162044 577702555 706745296 883431620 924324088 1155405110 1413490592 1766863240 1848648176 2310810220 3533726480 3697296352 4621620440 7067452960 9243240880 18486481760 26458777019 52917554038 105835108076 132293885095 211670216152 264587770190 423340432304 529175540380 846680864608 1058351080760 2116702161520 4233404323040