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424343343424 = 26711136623741
BaseRepresentation
bin1100010110011001101…
…01011001000101000000
31111120022012212100022211
412023030311121011000
523423023343442144
6522535102311504
742441423622510
oct6131465310500
91446265770284
10424343343424
11153a65833640
126a2a7888594
1331027acca70
1416777255840
15b088b0b034
hex62ccd59140

424343343424 has 112 divisors (see below), whose sum is σ = 1130593274496. Its totient is φ = 152610969600.

The previous prime is 424343343377. The next prime is 424343343427.

424343343424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424343343427) 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, 3247807 + ... + 3375934.

It is an arithmetic number, because the mean of its divisors is an integer number (10094582808).

Almost surely, 2424343343424 is an apocalyptic number.

424343343424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424343343424 is an abundant number, since it is smaller than the sum of its proper divisors (706249931072).

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

424343343424 is a wasteful number, since it uses less digits than its factorization.

424343343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623784 (or 6623774 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 424343 and 343424, that added together give a palindrome (767767).

The spelling of 424343343424 in words is "four hundred twenty-four billion, three hundred forty-three million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 32032 64064 6623741 13247482 26494964 46366187 52989928 72861151 86108633 92732374 105979856 145722302 172217266 185464748 211959712 291444604 344434532 370929496 423919424 510028057 582889208 602760431 688869064 741858992 947194963 1020056114 1165778416 1205520862 1377738128 1483717984 1894389926 2040112228 2331556832 2411041724 2755476256 2967435968 3788779852 4080224456 4663113664 4822083448 5510952512 6630364741 7577559704 8160448912 9644166896 13260729482 15155119408 16320897824 19288333792 26521458964 30310238816 32641795648 38576667584 53042917928 60620477632 106085835856 212171671712 424343343424