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4045011040 = 255727113327
BaseRepresentation
bin1111000100011001…
…1111100001100000
3101102220101211222201
43301012133201200
531241010323130
61505214342544
7202145012050
oct36106374140
911386354881
104045011040
111796337734
1294a7baa54
134c6051075
142a530d560
1518a1b6bca
hexf119f860

4045011040 has 96 divisors (see below), whose sum is σ = 10962653184. Its totient is φ = 1381639680.

The previous prime is 4045011011. The next prime is 4045011079. The reversal of 4045011040 is 401105404.

It is a super-2 number, since 2×40450110402 = 32724228627443763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4045010999 and 4045011017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296857 + ... + 310183.

It is an arithmetic number, because the mean of its divisors is an integer number (114194304).

Almost surely, 24045011040 is an apocalyptic number.

4045011040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481326592).

4045011040 is an abundant number, since it is smaller than the sum of its proper divisors (6917642144).

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

4045011040 is a wasteful number, since it uses less digits than its factorization.

4045011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4045011040 is about 63600.4012565959. The cubic root of 4045011040 is about 1593.3330711219. Note that the first 3 decimals are identical.

Adding to 4045011040 its reverse (401105404), we get a palindrome (4446116444).

The spelling of 4045011040 in words is "four billion, forty-five million, eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 13327 15176 18970 21680 26654 30352 37940 43360 53308 60704 66635 75880 93289 106616 133270 151760 186578 213232 266540 303520 373156 426464 466445 533080 746312 932890 1066160 1492624 1865780 2132320 2985248 3611617 3731560 7223234 7463120 14446468 14926240 18058085 25281319 28892936 36116170 50562638 57785872 72232340 101125276 115571744 126406595 144464680 202250552 252813190 288929360 404501104 505626380 577858720 809002208 1011252760 2022505520 4045011040