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41113012032 = 2632112363559
BaseRepresentation
bin100110010010100001…
…101100011101000000
310221010020101101222100
4212102201230131000
51133144412341112
630515334310400
72653550556561
oct462241543500
9127106341870
1041113012032
11164882504a4
127b747b8400
133b5283aa71
141dc0336168
15110958d2dc
hex99286c740

41113012032 has 84 divisors (see below), whose sum is σ = 117949817440. Its totient is φ = 13691918592.

The previous prime is 41113012009. The next prime is 41113012043. The reversal of 41113012032 is 23021031114.

41113012032 is a `hidden beast` number, since 411 + 130 + 120 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41113011996 and 41113012014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615069 + ... + 678627.

Almost surely, 241113012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41113012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58974908720).

41113012032 is an abundant number, since it is smaller than the sum of its proper divisors (76836805408).

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

41113012032 is a wasteful number, since it uses less digits than its factorization.

41113012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64700 (or 64687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41113012032 its reverse (23021031114), we get a palindrome (64134043146).

The spelling of 41113012032 in words is "forty-one billion, one hundred thirteen million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 35936 40428 53904 63559 71872 80856 107808 127118 161712 190677 215616 254236 323424 381354 508472 572031 646848 762708 1016944 1144062 1525416 2033888 2288124 3050832 4067776 4576248 6101664 9152496 12203328 18304992 36609984 71376757 142753514 214130271 285507028 428260542 571014056 642390813 856521084 1142028112 1284781626 1713042168 2284056224 2569563252 3426084336 4568112448 5139126504 6852168672 10278253008 13704337344 20556506016 41113012032