Search a number
-
+
41140588222656 = 2635132313167537
BaseRepresentation
bin10010101101010110010100…
…01001011001100011000000
312101200000001022220010100000
421112223022021121203000
520343021411041111111
6223255420400200000
711444211062006646
oct1126531211314300
9171600038803300
1041140588222656
111212169757852a
1247453a3909000
1319c5705259320
14a2330230d196
154b5263b47c56
hex256aca2598c0

41140588222656 has 672 divisors, whose sum is σ = 138473448841728. Its totient is φ = 12015659335680.

The previous prime is 41140588222651. The next prime is 41140588222673. The reversal of 41140588222656 is 65622288504114.

41140588222656 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 0 + 588 + 2 + 2 + 2 + 6 + 56 = 666.

It is a super-2 number, since 2×411405882226562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41140588222651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609122520 + ... + 609190056.

It is an arithmetic number, because the mean of its divisors is an integer number (206061679824).

Almost surely, 241140588222656 is an apocalyptic number.

41140588222656 is a gapful number since it is divisible by the number (46) 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 41140588222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69236724420864).

41140588222656 is an abundant number, since it is smaller than the sum of its proper divisors (97332860619072).

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

41140588222656 is a wasteful number, since it uses less digits than its factorization.

41140588222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67731 (or 67709 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 41140588222656 in words is "forty-one trillion, one hundred forty billion, five hundred eighty-eight million, two hundred twenty-two thousand, six hundred fifty-six".