Search a number
-
+
424253014515040 = 2552651581340719
BaseRepresentation
bin110000001110110110001101…
…0001110011001110101100000
32001122011012012000212102002011
41200131230122032121311200
5421101430133203440130
64102151051054202304
7155235161124605614
oct14035543216316540
92048135160772064
10424253014515040
111131a8769493297
123b6bb0b01b3394
1315295b700b32b9
1476a9d53b1b344
15340abdb74852a
hex181db1a399d60

424253014515040 has 24 divisors (see below), whose sum is σ = 1002297746792160. Its totient is φ = 169701205805952.

The previous prime is 424253014515023. The next prime is 424253014515179. The reversal of 424253014515040 is 40515410352424.

It is a super-3 number, since 3×4242530145150403 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 424253014514984 and 424253014515002.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1325790670200 + ... + 1325790670519.

It is an arithmetic number, because the mean of its divisors is an integer number (41762406116340).

Almost surely, 2424253014515040 is an apocalyptic number.

424253014515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424253014515040 is an abundant number, since it is smaller than the sum of its proper divisors (578044732277120).

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

424253014515040 is a wasteful number, since it uses less digits than its factorization.

424253014515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651581340734 (or 2651581340726 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 424253014515040 its reverse (40515410352424), we get a palindrome (464768424867464).

The spelling of 424253014515040 in words is "four hundred twenty-four trillion, two hundred fifty-three billion, fourteen million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2651581340719 5303162681438 10606325362876 13257906703595 21212650725752 26515813407190 42425301451504 53031626814380 84850602903008 106063253628760 212126507257520 424253014515040