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210233433331040 = 2557316055110407
BaseRepresentation
bin101111110011010011001001…
…000111010001010101100000
31000120101010020102212012001012
4233303103021013101111200
5210023431032413043130
62023043523405000052
762165602314363350
oct5763231107212540
91016333212765035
10210233433331040
1160a94553382a69
121b6b4793553028
13903cc0a1c4692
1439cb4d1244b60
1519489c26bd995
hexbf34c91d1560

210233433331040 has 96 divisors (see below), whose sum is σ = 585940923961344. Its totient is φ = 69754871877120.

The previous prime is 210233433330983. The next prime is 210233433331073. The reversal of 210233433331040 is 40133334332012.

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 = 210233433330988 and 210233433331006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027520484 + ... + 3027589923.

It is an arithmetic number, because the mean of its divisors is an integer number (6103551291264).

Almost surely, 2210233433331040 is an apocalyptic number.

210233433331040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210233433331040 is an abundant number, since it is smaller than the sum of its proper divisors (375707490630304).

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

210233433331040 is a wasteful number, since it uses less digits than its factorization.

210233433331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055110460 (or 6055110452 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 210233433331040 its reverse (40133334332012), we get a palindrome (250366767663052).

The spelling of 210233433331040 in words is "two hundred ten trillion, two hundred thirty-three billion, four hundred thirty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 6055110407 12110220814 24220441628 30275552035 42385772849 48440883256 60551104070 84771545698 96881766512 121102208140 169543091396 187708422617 193763533024 211928864245 242204416280 339086182792 375416845234 423857728490 484408832560 678172365584 750833690468 847715456980 938542113085 968817665120 1313958958319 1356344731168 1501667380936 1695430913960 1877084226170 2627917916638 3003334761872 3390861827920 3754168452340 5255835833276 6006669523744 6569794791595 6781723655840 7508336904680 10511671666552 13139589583190 15016673809360 21023343333104 26279179166380 30033347618720 42046686666208 52558358332760 105116716665520 210233433331040