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404241402432 = 2637300774853
BaseRepresentation
bin1011110000111101010…
…10100100101001000000
31102122102021111221022210
411320132222210221000
523110341244334212
6505412252102120
741130323140530
oct5703652445100
91378367457283
10404241402432
1114648a80786a
1266417764940
132c17328201a
14157cb5d54c0
15a7ade5553c
hex5e1eaa4a40

404241402432 has 56 divisors (see below), whose sum is σ = 1222349006656. Its totient is φ = 115497543168.

The previous prime is 404241402431. The next prime is 404241402443. The reversal of 404241402432 is 234204142404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×4042414024322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404241402432.

It is not an unprimeable number, because it can be changed into a prime (404241402431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150386083 + ... + 150388770.

Almost surely, 2404241402432 is an apocalyptic number.

404241402432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404241402432 is an abundant number, since it is smaller than the sum of its proper divisors (818107604224).

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

404241402432 is a wasteful number, since it uses less digits than its factorization.

404241402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300774875 (or 300774865 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 404241402432 its reverse (234204142404), we get a palindrome (638445544836).

The spelling of 404241402432 in words is "four hundred four billion, two hundred forty-one million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 300774853 601549706 902324559 1203099412 1804649118 2105423971 2406198824 3609298236 4210847942 4812397648 6316271913 7218596472 8421695884 9624795296 12632543826 14437192944 16843391768 19249590592 25265087652 28874385888 33686783536 50530175304 57748771776 67373567072 101060350608 134747134144 202120701216 404241402432