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210023341440 = 2735119944287
BaseRepresentation
bin1100001110011001011…
…1011101110110000000
3202002002212222012001120
43003212113131312000
511420111433411230
6240252225032240
721113400642543
oct3034627356600
9662085865046
10210023341440
1181085778a60
1234854485680
1316a60abc943
14a24539c85a
1556e33e3310
hex30e65ddd80

210023341440 has 128 divisors (see below), whose sum is σ = 730308510720. Its totient is φ = 50914744320.

The previous prime is 210023341403. The next prime is 210023341441. The reversal of 210023341440 is 44143320012.

210023341440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 210023341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210023341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4951024 + ... + 4993263.

It is an arithmetic number, because the mean of its divisors is an integer number (5705535240).

Almost surely, 2210023341440 is an apocalyptic number.

210023341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210023341440 is an abundant number, since it is smaller than the sum of its proper divisors (520285169280).

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

210023341440 is a wasteful number, since it uses less digits than its factorization.

210023341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944320 (or 9944308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 210023341440 its reverse (44143320012), we get a palindrome (254166661452).

The spelling of 210023341440 in words is "two hundred ten billion, twenty-three million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 9944287 19888574 29832861 39777148 49721435 59665722 79554296 99442870 109387157 119331444 149164305 159108592 198885740 218774314 238662888 298328610 318217184 328161471 397771480 437548628 477325776 546935785 596657220 636434368 656322942 795542960 875097256 954651552 1093871570 1193314440 1272868736 1312645884 1591085920 1640807355 1750194512 1909303104 2187743140 2386628880 2625291768 3182171840 3281614710 3500389024 3818606208 4375486280 4773257760 5250583536 6364343680 6563229420 7000778048 8750972560 9546515520 10501167072 13126458840 14001556096 17501945120 19093031040 21002334144 26252917680 35003890240 42004668288 52505835360 70007780480 105011670720 210023341440