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424302203424 = 253112317469623
BaseRepresentation
bin1100010110010100110…
…00011101001000100000
31111120012100110012212010
412023022120131020200
523422432331002144
6522531032432520
742440414136021
oct6131230351040
91446170405763
10424302203424
11153a44594540
126a295b48740
133101c427378
14167719c6c48
15b0851d15b9
hex62ca61d220

424302203424 has 96 divisors (see below), whose sum is σ = 1267875431424. Its totient is φ = 122986138880.

The previous prime is 424302203411. The next prime is 424302203441.

424302203424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4243022034242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424302203391 and 424302203400.

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, 8710524 + ... + 8759099.

It is an arithmetic number, because the mean of its divisors is an integer number (13207035744).

Almost surely, 2424302203424 is an apocalyptic number.

424302203424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424302203424 is an abundant number, since it is smaller than the sum of its proper divisors (843573228000).

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

424302203424 is a wasteful number, since it uses less digits than its factorization.

424302203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469670 (or 17469662 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 424302 and 203424, that added together give a palindrome (627726).

The spelling of 424302203424 in words is "four hundred twenty-four billion, three hundred two million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 17469623 34939246 52408869 69878492 104817738 139756984 192165853 209635476 279513968 384331706 401801329 419270952 559027936 576497559 768663412 803602658 838541904 1152995118 1205403987 1537326824 1607205316 1677083808 2305990236 2410807974 3074653648 3214410632 4419814619 4611980472 4821615948 6149307296 6428821264 8839629238 9223960944 9643231896 12857642528 13259443857 17679258476 18447921888 19286463792 26518887714 35358516952 38572927584 53037775428 70717033904 106075550856 141434067808 212151101712 424302203424