Search a number
-
+
4022042431040 = 265108007116371
BaseRepresentation
bin111010100001110100011…
…010010000111001000000
3112020111121001102012211222
4322201310122100321000
51011344120330243130
612315411211454212
7563403650403344
oct72416432207100
915214531365758
104022042431040
111310814109327
1254b5b9a57368
1323237a68593a
14dc94c9a7624
156e9511bace5
hex3a874690e40

4022042431040 has 56 divisors (see below), whose sum is σ = 9577659515712. Its totient is φ = 1608788252160.

The previous prime is 4022042431009. The next prime is 4022042431049. The reversal of 4022042431040 is 401342402204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4022042431049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34504055 + ... + 34620425.

Almost surely, 24022042431040 is an apocalyptic number.

4022042431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022042431040 is an abundant number, since it is smaller than the sum of its proper divisors (5555617084672).

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

4022042431040 is a wasteful number, since it uses less digits than its factorization.

4022042431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224395 (or 224385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4022042431040 its reverse (401342402204), we get a palindrome (4423384833244).

The spelling of 4022042431040 in words is "four trillion, twenty-two billion, forty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 108007 116371 216014 232742 432028 465484 540035 581855 864056 930968 1080070 1163710 1728112 1861936 2160140 2327420 3456224 3723872 4320280 4654840 6912448 7447744 8640560 9309680 17281120 18619360 34562240 37238720 12568882597 25137765194 50275530388 62844412985 100551060776 125688825970 201102121552 251377651940 402204243104 502755303880 804408486208 1005510607760 2011021215520 4022042431040