Search a number
-
+
41366254653360 = 2433573134294919
BaseRepresentation
bin10010110011111010101001…
…11010100000111110110000
312102110120112102002120201000
421121331110322200332300
520410221042142401420
6223551221155042000
711466420232014000
oct1131752472407660
9172416472076630
1041366254653360
11121a936a376a2a
124781082ba0300
131a10a89b995b0
14a301cd094000
154bb070530690
hex259f54ea0fb0

41366254653360 has 640 divisors, whose sum is σ = 178943546880000. Its totient is φ = 8727823125504.

The previous prime is 41366254653257. The next prime is 41366254653389. The reversal of 41366254653360 is 6335645266314.

41366254653360 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 6 + 2 + 5 + 46 + 533 + 60 = 666.

It is a super-2 number, since 2×413662546533602 (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 a junction number, because it is equal to n+sod(n) for n = 41366254653297 and 41366254653306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7483981 + ... + 11778899.

It is an arithmetic number, because the mean of its divisors is an integer number (279599292000).

Almost surely, 241366254653360 is an apocalyptic number.

41366254653360 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 41366254653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89471773440000).

41366254653360 is an abundant number, since it is smaller than the sum of its proper divisors (137577292226640).

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

41366254653360 is a wasteful number, since it uses less digits than its factorization.

41366254653360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294975 (or 4294949 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 41366254653360 in words is "forty-one trillion, three hundred sixty-six billion, two hundred fifty-four million, six hundred fifty-three thousand, three hundred sixty".