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230453243303424 = 2931911913410623
BaseRepresentation
bin110100011001100010010011…
…101101000101011000000000
31010012222010002202120020120020
4310121202103231011120000
5220201221220241202144
62134044431453413440
766353461126354641
oct6431422355053000
91105863082506506
10230453243303424
116747a742a396a9
1221a1b470a9a280
139b788559ca01b
1440c9dd45216c8
151b9993ec0a419
hexd19893b45600

230453243303424 has 160 divisors (see below), whose sum is σ = 617480314159104. Its totient is φ = 76375429201920.

The previous prime is 230453243303287. The next prime is 230453243303443. The reversal of 230453243303424 is 424303342354032.

It is a congruent number.

It is an unprimeable number.

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, 561022977 + ... + 561433599.

Almost surely, 2230453243303424 is an apocalyptic number.

230453243303424 is a gapful number since it is divisible by the number (24) 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 230453243303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308740157079552).

230453243303424 is an abundant number, since it is smaller than the sum of its proper divisors (387027070855680).

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

230453243303424 is a wasteful number, since it uses less digits than its factorization.

230453243303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412748 (or 412732 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 42.

Adding to 230453243303424 its reverse (424303342354032), we get a palindrome (654756585657456).

The spelling of 230453243303424 in words is "two hundred thirty trillion, four hundred fifty-three billion, two hundred forty-three million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1146 1528 1536 1913 2292 3056 3826 4584 5739 6112 7652 9168 11478 12224 15304 18336 22956 24448 30608 36672 45912 48896 61216 73344 91824 97792 122432 146688 183648 244864 293376 365383 367296 410623 489728 730766 734592 821246 979456 1096149 1231869 1461532 1469184 1642492 2192298 2463738 2923064 2938368 3284984 4384596 4927476 5846128 6569968 8769192 9854952 11692256 13139936 17538384 19709904 23384512 26279872 35076768 39419808 46769024 52559744 70153536 78428993 78839616 93538048 105119488 140307072 156857986 157679232 187076096 210238976 235286979 280614144 313715972 315358464 470573958 561228288 627431944 630716928 785521799 941147916 1254863888 1571043598 1882295832 2356565397 2509727776 3142087196 3764591664 4713130794 5019455552 6284174392 7529183328 9426261588 10038911104 12568348784 15058366656 18852523176 20077822208 25136697568 30116733312 37705046352 40155644416 50273395136 60233466624 75410092704 100546790272 120466933248 150034663609 150820185408 201093580544 300069327218 301640370816 402187161088 450103990827 600138654436 603280741632 900207981654 1200277308872 1206561483264 1800415963308 2400554617744 3600831926616 4801109235488 7201663853232 9602218470976 14403327706464 19204436941952 28806655412928 38408873883904 57613310825856 76817747767808 115226621651712 230453243303424