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41113040454 = 23323149222163
BaseRepresentation
bin100110010010100001…
…110011011001000110
310221010020102211222000
4212102201303121012
51133144414243304
630515335050130
72653551035463
oct462241633106
9127106384860
1041113040454
111648826a892
127b74810946
133b5284a995
141dc034266a
151109596939
hex992873646

41113040454 has 64 divisors (see below), whose sum is σ = 95974848000. Its totient is φ = 13020470496.

The previous prime is 41113040447. The next prime is 41113040519. The reversal of 41113040454 is 45404031114.

41113040454 is a `hidden beast` number, since 41 + 1 + 130 + 40 + 454 = 666.

It is a super-2 number, since 2×411130404542 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73977 + ... + 296139.

It is an arithmetic number, because the mean of its divisors is an integer number (1499607000).

Almost surely, 241113040454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41113040454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47987424000).

41113040454 is an abundant number, since it is smaller than the sum of its proper divisors (54861807546).

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

41113040454 is a wasteful number, since it uses less digits than its factorization.

41113040454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222346 (or 222340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41113040454 its reverse (45404031114), we get a palindrome (86517071568).

It can be divided in two parts, 411130 and 40454, that added together give a square (451584 = 6722).

The spelling of 41113040454 in words is "forty-one billion, one hundred thirteen million, forty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 149 207 298 414 447 621 894 1242 1341 2682 3427 4023 6854 8046 10281 20562 30843 61686 92529 185058 222163 444326 666489 1332978 1999467 3998934 5109749 5998401 10219498 11996802 15329247 30658494 33102287 45987741 66204574 91975482 99306861 137963223 198613722 275926446 297920583 595841166 761352601 893761749 1522705202 1787523498 2284057803 4568115606 6852173409 13704346818 20556520227 41113040454