Search a number
-
+
42054022045024 = 25112334759149441
BaseRepresentation
bin10011000111111011101110…
…00010111001110101100000
312111220022210002210002102221
421203331313002321311200
521003003114120420044
6225235203453120424
711600205604255243
oct1143756702716540
9174808702702387
1042054022045024
1112444013109960
124872426a89114
131a608a5c3b442
14a555d590b25a
154cddc571b484
hex263f770b9d60

42054022045024 has 96 divisors (see below), whose sum is σ = 94250893524480. Its totient is φ = 18283709030400.

The previous prime is 42054022044997. The next prime is 42054022045027.

It is a happy number.

42054022045024 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054022045027) 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, 281334144 + ... + 281483584.

It is an arithmetic number, because the mean of its divisors is an integer number (981780140880).

Almost surely, 242054022045024 is an apocalyptic number.

42054022045024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42054022045024 is an abundant number, since it is smaller than the sum of its proper divisors (52196871479456).

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

42054022045024 is a wasteful number, since it uses less digits than its factorization.

42054022045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184244 (or 184236 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

The spelling of 42054022045024 in words is "forty-two trillion, fifty-four billion, twenty-two million, forty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 34759 69518 139036 149441 278072 298882 382349 556144 597764 764698 799457 1112288 1195528 1529396 1598914 1643851 2391056 3058792 3197828 3287702 3437143 4782112 6117584 6395656 6575404 6874286 8794027 12235168 12791312 13150808 13748572 17588054 25582624 26301616 27497144 35176108 37808573 52603232 54994288 70352216 75617146 109988576 140704432 151234292 281408864 302468584 604937168 1209874336 5194419719 10388839438 20777678876 41555357752 57138616909 83110715504 114277233818 119471653537 166221431008 228554467636 238943307074 457108935272 477886614148 914217870544 955773228296 1314188188907 1828435741088 1911546456592 2628376377814 3823092913184 5256752755628 10513505511256 21027011022512 42054022045024