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41110113024 = 2832154911519
BaseRepresentation
bin100110010010010110…
…101000101100000000
310221010000221010021200
4212102112220230000
51133143142104044
630515152221200
72653514123631
oct462226505400
9127100833250
1041110113024
1116486650422
127b7383a800
133b52064386
141dbdbbd888
1511091b9369
hex9925a8b00

41110113024 has 108 divisors (see below), whose sum is σ = 118617408000. Its totient is φ = 13693335552.

The previous prime is 41110113013. The next prime is 41110113053. The reversal of 41110113024 is 42031101114.

41110113024 is a `hidden beast` number, since 411 + 101 + 130 + 24 = 666.

It is a super-3 number, since 3×411101130243 (a number of 33 digits) contains 333 as substring.

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 = 41110112988 and 41110113006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3563137 + ... + 3574655.

Almost surely, 241110113024 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 41110113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59308704000).

41110113024 is an abundant number, since it is smaller than the sum of its proper divisors (77507294976).

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

41110113024 is a wasteful number, since it uses less digits than its factorization.

41110113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41110113024 its reverse (42031101114), we get a palindrome (83141214138).

The spelling of 41110113024 in words is "forty-one billion, one hundred ten million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1549 2304 3098 4647 6196 9294 11519 12392 13941 18588 23038 24784 27882 34557 37176 46076 49568 55764 69114 74352 92152 99136 103671 111528 138228 148704 184304 198272 207342 223056 276456 297408 368608 396544 414684 446112 552912 594816 737216 829368 892224 1105824 1189632 1474432 1658736 1784448 2211648 2948864 3317472 3568896 4423296 6634944 8846592 13269888 17842931 26539776 35685862 53528793 71371724 107057586 142743448 160586379 214115172 285486896 321172758 428230344 570973792 642345516 856460688 1141947584 1284691032 1712921376 2283895168 2569382064 3425842752 4567790336 5138764128 6851685504 10277528256 13703371008 20555056512 41110113024