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42404222432 = 25111318151197
BaseRepresentation
bin100111011111011111…
…010001010111100000
311001110020000200122202
4213133133101113200
51143320440104212
631251421352332
73030546641435
oct473737212740
9131406020582
1042404222432
1116a90094a30
1282751086a8
133cca1b90a0
1420a3a09b8c
151182ae40c2
hex9df7d15e0

42404222432 has 96 divisors (see below), whose sum is σ = 98622093024. Its totient is φ = 17693337600.

The previous prime is 42404222431. The next prime is 42404222449. The reversal of 42404222432 is 23422240424.

It is a junction number, because it is equal to n+sod(n) for n = 42404222395 and 42404222404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404222431) 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, 802658 + ... + 853854.

It is an arithmetic number, because the mean of its divisors is an integer number (1027313469).

Almost surely, 242404222432 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 42404222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49311046512).

42404222432 is an abundant number, since it is smaller than the sum of its proper divisors (56217870592).

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

42404222432 is a wasteful number, since it uses less digits than its factorization.

42404222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51412 (or 51404 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 42404222432 its reverse (23422240424), we get a palindrome (65826462856).

The spelling of 42404222432 in words is "forty-two billion, four hundred four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 181 208 286 352 362 416 572 724 1144 1448 1991 2288 2353 2896 3982 4576 4706 5792 7964 9412 15928 18824 25883 31856 37648 51197 51766 63712 75296 102394 103532 204788 207064 409576 414128 563167 665561 819152 828256 1126334 1331122 1638304 2252668 2662244 4505336 5324488 7321171 9010672 9266657 10648976 14642342 18021344 18533314 21297952 29284684 37066628 58569368 74133256 101933227 117138736 120466541 148266512 203866454 234277472 240933082 296533024 407732908 481866164 815465816 963732328 1325131951 1630931632 1927464656 2650263902 3261863264 3854929312 5300527804 10601055608 21202111216 42404222432