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424120040021424 = 243291879316212629
BaseRepresentation
bin110000001101111000010010…
…0010100111101110110110000
32001121200110221210220020022010
41200123300210110331312300
5421042240320221141144
64102010020121242520
7155222442652220325
oct14033604424756660
92047613853806263
10424120040021424
1111315733189507a
123b69937b333440
131528646abb7a96
1476a373b5a8b4c
1534075076cd5b9
hex181bc2453ddb0

424120040021424 has 80 divisors (see below), whose sum is σ = 1133484625778400. Its totient is φ = 136491132008448.

The previous prime is 424120040021417. The next prime is 424120040021501.

424120040021424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 424120040021391 and 424120040021400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18053542 + ... + 34266170.

It is an arithmetic number, because the mean of its divisors is an integer number (14168557822230).

Almost surely, 2424120040021424 is an apocalyptic number.

It is an amenable number.

424120040021424 is an abundant number, since it is smaller than the sum of its proper divisors (709364585756976).

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

424120040021424 is a wasteful number, since it uses less digits than its factorization.

424120040021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16231462 (or 16231456 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 424120040021424 in words is "four hundred twenty-four trillion, one hundred twenty billion, forty million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 18793 37586 56379 75172 112758 150344 225516 300688 451032 544997 902064 1089994 1634991 2179988 3269982 4359976 6539964 8719952 13079928 16212629 26159856 32425258 48637887 64850516 97275774 129701032 194551548 259402064 389103096 470166241 778206192 940332482 1410498723 1880664964 2820997446 3761329928 5641994892 7522659856 11283989784 22567979568 304683936797 609367873594 914051810391 1218735747188 1828103620782 2437471494376 3656207241564 4874942988752 7312414483128 8835834167113 14624828966256 17671668334226 26507502501339 35343336668452 53015005002678 70686673336904 106030010005356 141373346673808 212060020010712 424120040021424