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41055430464 = 2632354120129
BaseRepresentation
bin100110001111000110…
…000010011101000000
310220222020000221220200
4212033012002131000
51133040142233324
630505520205200
72652251254356
oct461706023500
9126866027820
1041055430464
11164587a1624
127b59469800
133b43929829
141db68277d6
1511044b6ec9
hex98f182740

41055430464 has 84 divisors (see below), whose sum is σ = 117717059460. Its totient is φ = 13680599040.

The previous prime is 41055430463. The next prime is 41055430487. The reversal of 41055430464 is 46403455014.

41055430464 is a `hidden beast` number, since 4 + 10 + 554 + 30 + 4 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28103169600 + 12952260864 = 167640^2 + 113808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41055430463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2029552 + ... + 2049680.

It is an arithmetic number, because the mean of its divisors is an integer number (1401393565).

Almost surely, 241055430464 is an apocalyptic number.

It is an amenable number.

41055430464 is an abundant number, since it is smaller than the sum of its proper divisors (76661628996).

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

41055430464 is a wasteful number, since it uses less digits than its factorization.

41055430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23688 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41055430464 its reverse (46403455014), we get a palindrome (87458885478).

The spelling of 41055430464 in words is "forty-one billion, fifty-five million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3541 7082 10623 14164 20129 21246 28328 31869 40258 42492 56656 60387 63738 80516 84984 113312 120774 127476 161032 169968 181161 226624 241548 254952 322064 339936 362322 483096 509904 644128 679872 724644 966192 1019808 1288256 1449288 1932384 2039616 2898576 3864768 5797152 11594304 71276789 142553578 213830367 285107156 427660734 570214312 641491101 855321468 1140428624 1282982202 1710642936 2280857248 2565964404 3421285872 4561714496 5131928808 6842571744 10263857616 13685143488 20527715232 41055430464