Search a number
-
+
424404000240 = 243511160759091
BaseRepresentation
bin1100010110100000111…
…00110001110111110000
31111120110110000000211120
412023100130301313300
523423134411001430
6522545110342240
742443061323523
oct6132034616760
91446413000746
10424404000240
11153a96aa2a40
126a30405a980
133103754997c
1416781324bba
15b08e0dd610
hex62d0731df0

424404000240 has 80 divisors (see below), whose sum is σ = 1435257173376. Its totient is φ = 102885817600.

The previous prime is 424404000227. The next prime is 424404000287. The reversal of 424404000240 is 42000404424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424404000240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80376906 + ... + 80382185.

Almost surely, 2424404000240 is an apocalyptic number.

424404000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424404000240 is an abundant number, since it is smaller than the sum of its proper divisors (1010853173136).

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

424404000240 is a wasteful number, since it uses less digits than its factorization.

424404000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160759118 (or 160759112 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 424404000240 its reverse (42000404424), we get a palindrome (466404404664).

The spelling of 424404000240 in words is "four hundred twenty-four billion, four hundred four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 160759091 321518182 482277273 643036364 803795455 964554546 1286072728 1607590910 1768350001 1929109092 2411386365 2572145456 3215181820 3536700002 3858218184 4822772730 5305050003 6430363640 7073400004 7716436368 8841750005 9645545460 10610100006 12860727280 14146800008 17683500010 19291090920 21220200012 26525250015 28293600016 35367000020 38582181840 42440400024 53050500030 70734000040 84880800048 106101000060 141468000080 212202000120 424404000240