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6424402440 = 2335131408677
BaseRepresentation
bin1011111101110110…
…01001101000001000
3121120201122110101010
411332323021220020
5101124121334230
62541253123520
7315126343161
oct57673115010
917521573333
106424402440
1127a7453705
1212b36295a0
137b4ca2581
1444d326768
1527901b9b0
hex17eec9a08

6424402440 has 64 divisors (see below), whose sum is σ = 19420378560. Its totient is φ = 1700092160.

The previous prime is 6424402429. The next prime is 6424402469. The reversal of 6424402440 is 442044246.

It is a super-2 number, since 2×64244024402 = 82545893422155907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6424402398 and 6424402407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188619 + ... + 220058.

It is an arithmetic number, because the mean of its divisors is an integer number (303443415).

Almost surely, 26424402440 is an apocalyptic number.

6424402440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6424402440 is an abundant number, since it is smaller than the sum of its proper divisors (12995976120).

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

6424402440 is a wasteful number, since it uses less digits than its factorization.

6424402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408822 (or 408818 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 6424402440 is about 80152.3701458666. The cubic root of 6424402440 is about 1858.9922509547.

Adding to 6424402440 its reverse (442044246), we get a palindrome (6866446686).

The spelling of 6424402440 in words is "six billion, four hundred twenty-four million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 408677 817354 1226031 1634708 2043385 2452062 3269416 4086770 4904124 6130155 8173540 9808248 12260310 16347080 24520620 49041240 53536687 107073374 160610061 214146748 267683435 321220122 428293496 535366870 642440244 803050305 1070733740 1284880488 1606100610 2141467480 3212201220 6424402440