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424544445424 = 241117197468063
BaseRepresentation
bin1100010110110001101…
…00100010001111110000
31111120211020021101102001
412023120310202033300
523423431334223144
6523011044503344
742446415146641
oct6133064421760
91446736241361
10424544445424
111540592a9540
126a3430aab54
133105a681828
1416795c436c8
15b09b5d1bd4
hex62d8d223f0

424544445424 has 80 divisors (see below), whose sum is σ = 1000123130880. Its totient is φ = 172064148480.

The previous prime is 424544445419. The next prime is 424544445449.

424544445424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4245444454242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 3677184 + ... + 3790879.

It is an arithmetic number, because the mean of its divisors is an integer number (12501539136).

Almost surely, 2424544445424 is an apocalyptic number.

424544445424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424544445424 is an abundant number, since it is smaller than the sum of its proper divisors (575578685456).

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

424544445424 is a wasteful number, since it uses less digits than its factorization.

424544445424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468118 (or 7468112 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 46.

It can be divided in two parts, 424544 and 445424, that added together give a palindrome (869968).

The spelling of 424544445424 in words is "four hundred twenty-four billion, five hundred forty-four million, four hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 28424 56848 7468063 14936126 29872252 59744504 82148693 119489008 126957071 141893197 164297386 253914142 283786394 328594772 507828284 567572788 657189544 1015656568 1135145576 1314379088 1396527781 1560825167 2031313136 2270291152 2412184349 2793055562 3121650334 4824368698 5586111124 6243300668 9648737396 11172222248 12486601336 19297474792 22344444496 24973202672 26534027839 38594949584 53068055678 106136111356 212272222712 424544445424