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424400004240 = 243510117508251
BaseRepresentation
bin1100010110100000011…
…01100010010010010000
31111120110011111000100120
412023100031202102100
523423132400113430
6522544444550240
742443012341422
oct6132015422220
91446404430316
10424400004240
11153a94813763
126a302852380
133103677ab84
14167809a4812
15b08da9e610
hex62d0362490

424400004240 has 80 divisors (see below), whose sum is σ = 1328666227776. Its totient is φ = 112052800000.

The previous prime is 424400004239. The next prime is 424400004247. The reversal of 424400004240 is 42400004424.

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 424400004240.

It is not an unprimeable number, because it can be changed into a prime (424400004247) 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, 8729886 + ... + 8778365.

Almost surely, 2424400004240 is an apocalyptic number.

424400004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424400004240 is an abundant number, since it is smaller than the sum of its proper divisors (904266223536).

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

424400004240 is a wasteful number, since it uses less digits than its factorization.

424400004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17508368 (or 17508362 counting only the distinct ones).

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

Adding to 424400004240 its reverse (42400004424), we get a palindrome (466800008664).

The spelling of 424400004240 in words is "four hundred twenty-four billion, four hundred million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 17508251 35016502 52524753 70033004 87541255 105049506 140066008 175082510 210099012 262623765 280132016 350165020 420198024 525247530 700330040 840396048 1050495060 1400660080 1768333351 2100990120 3536666702 4201980240 5305000053 7073333404 8841666755 10610000106 14146666808 17683333510 21220000212 26525000265 28293333616 35366667020 42440000424 53050000530 70733334040 84880000848 106100001060 141466668080 212200002120 424400004240