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424303413024 = 25347223421699
BaseRepresentation
bin1100010110010100111…
…01000100011100100000
31111120012102201200010010
412023022131010130200
523422433133204044
6522531114404520
742440430334401
oct6131235043440
91446172650103
10424303413024
11153a45240307
126a296430740
133101c75baca
1416771c1d9a8
15b08536ebb9
hex62ca744720

424303413024 has 96 divisors (see below), whose sum is σ = 1142597836800. Its totient is φ = 137804159232.

The previous prime is 424303412983. The next prime is 424303413029. The reversal of 424303413024 is 420314303424.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 424303412982 and 424303413000.

It is not an unprimeable number, because it can be changed into a prime (424303413029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795327 + ... + 1217025.

It is an arithmetic number, because the mean of its divisors is an integer number (11902060800).

Almost surely, 2424303413024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424303413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571298918400).

424303413024 is an abundant number, since it is smaller than the sum of its proper divisors (718294423776).

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

424303413024 is a wasteful number, since it uses less digits than its factorization.

424303413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421982 (or 421974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 424303413024 its reverse (420314303424), we get a palindrome (844617716448).

The spelling of 424303413024 in words is "four hundred twenty-four billion, three hundred three million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 223 282 376 446 564 669 752 892 1128 1338 1504 1784 2256 2676 3568 4512 5352 7136 10481 10704 20962 21408 31443 41924 62886 83848 125772 167696 251544 335392 421699 503088 843398 1006176 1265097 1686796 2530194 3373592 5060388 6747184 10120776 13494368 19819853 20241552 39639706 40483104 59459559 79279412 94038877 118919118 158558824 188077754 237838236 282116631 317117648 376155508 475676472 564233262 634235296 752311016 951352944 1128466524 1504622032 1902705888 2256933048 3009244064 4419827219 4513866096 8839654438 9027732192 13259481657 17679308876 26518963314 35358617752 53037926628 70717235504 106075853256 141434471008 212151706512 424303413024