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42420313224 = 2333375307847
BaseRepresentation
bin100111100000011100…
…101001110010001000
311001111100022012002000
4213200130221302020
51143334100010344
631253154311000
73031133466402
oct474034516210
9131440265060
1042420313224
1116a99185203
12827a588460
134000631073
1420a5bd7b72
151184221a69
hex9e0729c88

42420313224 has 64 divisors (see below), whose sum is σ = 121018934400. Its totient is φ = 13757936832.

The previous prime is 42420313223. The next prime is 42420313241. The reversal of 42420313224 is 42231302424.

42420313224 is a `hidden beast` number, since 4 + 2 + 420 + 3 + 13 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42420313223) 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, 2645932 + ... + 2661915.

It is an arithmetic number, because the mean of its divisors is an integer number (1890920850).

Almost surely, 242420313224 is an apocalyptic number.

It is an amenable number.

42420313224 is an abundant number, since it is smaller than the sum of its proper divisors (78598621176).

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

42420313224 is a wasteful number, since it uses less digits than its factorization.

42420313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307899 (or 5307889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42420313224 its reverse (42231302424), we get a palindrome (84651615648).

The spelling of 42420313224 in words is "forty-two billion, four hundred twenty million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 5307847 10615694 15923541 21231388 31847082 42462776 47770623 63694164 95541246 127388328 143311869 191082492 196390339 286623738 382164984 392780678 573247476 589171017 785561356 1146494952 1178342034 1571122712 1767513051 2356684068 3535026102 4713368136 5302539153 7070052204 10605078306 14140104408 21210156612 42420313224