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42404303424 = 2637283111487
BaseRepresentation
bin100111011111011111…
…100101001001000000
311001110020011210202110
4213133133211021000
51143321000202144
631251423215320
73030550426530
oct473737451100
9131406153673
1042404303424
1116a9013a86a
128275147540
133cca216c02
1420a3a2b4c0
151182b0d0b9
hex9df7e5240

42404303424 has 112 divisors (see below), whose sum is σ = 128676773888. Its totient is φ = 12072595968.

The previous prime is 42404303401. The next prime is 42404303477. The reversal of 42404303424 is 42430340424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 42404303391 and 42404303400.

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, 324609 + ... + 436095.

Almost surely, 242404303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64338386944).

42404303424 is an abundant number, since it is smaller than the sum of its proper divisors (86272470464).

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

42404303424 is a wasteful number, since it uses less digits than its factorization.

42404303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111792 (or 111782 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42404303424 its reverse (42430340424), we get a palindrome (84834643848).

The spelling of 42404303424 in words is "forty-two billion, four hundred four million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 283 336 448 566 672 849 1132 1344 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 18112 23772 27168 31696 47544 54336 63392 95088 111487 126784 190176 222974 334461 380352 445948 668922 780409 891896 1337844 1560818 1783792 2341227 2675688 3121636 3567584 4682454 5351376 6243272 7135168 9364908 10702752 12486544 18729816 21405504 24973088 31550821 37459632 49946176 63101642 74919264 94652463 126203284 149838528 189304926 220855747 252406568 378609852 441711494 504813136 662567241 757219704 883422988 1009626272 1325134482 1514439408 1766845976 2019252544 2650268964 3028878816 3533691952 5300537928 6057757632 7067383904 10601075856 14134767808 21202151712 42404303424