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441413100040 = 235114423226817
BaseRepresentation
bin1100110110001100100…
…01010110001000001000
31120012100211121211022211
412123012101112020020
524213003223200130
6534440554354504
743614425305003
oct6330621261010
91505324554284
10441413100040
11160225207410
127167042ba34
13328183a7c73
14175162d253a
15b7374b1a2a
hex66c6456208

441413100040 has 64 divisors (see below), whose sum is σ = 1083718258560. Its totient is φ = 160476856320.

The previous prime is 441413100001. The next prime is 441413100061. The reversal of 441413100040 is 40001314144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 441413099984 and 441413100020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832712 + ... + 2059528.

It is an arithmetic number, because the mean of its divisors is an integer number (16933097790).

Almost surely, 2441413100040 is an apocalyptic number.

441413100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441413100040 is an abundant number, since it is smaller than the sum of its proper divisors (642305158520).

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

441413100040 is a wasteful number, since it uses less digits than its factorization.

441413100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231262 (or 231258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 441413100040 its reverse (40001314144), we get a palindrome (481414414184).

The spelling of 441413100040 in words is "four hundred forty-one billion, four hundred thirteen million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4423 8846 17692 22115 35384 44230 48653 88460 97306 176920 194612 226817 243265 389224 453634 486530 907268 973060 1134085 1814536 1946120 2268170 2494987 4536340 4989974 9072680 9979948 12474935 19959896 24949870 49899740 99799480 1003211591 2006423182 4012846364 5016057955 8025692728 10032115910 11035327501 20064231820 22070655002 40128463640 44141310004 55176637505 88282620008 110353275010 220706550020 441413100040