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404055030432 = 2536769190911
BaseRepresentation
bin1011110000100111000…
…11100111101010100000
31102121221021211021000010
411320103203213222200
523110001041433212
6505341553324520
741122601043114
oct5702343475240
91377837737003
10404055030432
111463a4592819
1266385266740
132c143789a31
14157b095d744
15a79c8de03c
hex5e138e7aa0

404055030432 has 96 divisors (see below), whose sum is σ = 1078044678144. Its totient is φ = 132481324800.

The previous prime is 404055030413. The next prime is 404055030443. The reversal of 404055030432 is 234030550404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4040550304322 (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 404055030432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399057 + ... + 4489967.

It is an arithmetic number, because the mean of its divisors is an integer number (11229632064).

Almost surely, 2404055030432 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 404055030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539022339072).

404055030432 is an abundant number, since it is smaller than the sum of its proper divisors (673989647712).

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

404055030432 is a wasteful number, since it uses less digits than its factorization.

404055030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91682 (or 91674 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 404055030432 its reverse (234030550404), we get a palindrome (638085580836).

The spelling of 404055030432 in words is "four hundred four billion, fifty-five million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 691 804 1072 1382 1608 2073 2144 2764 3216 4146 5528 6432 8292 11056 16584 22112 33168 46297 66336 90911 92594 138891 181822 185188 272733 277782 363644 370376 545466 555564 727288 740752 1090932 1111128 1454576 1481504 2181864 2222256 2909152 4363728 4444512 6091037 8727456 12182074 18273111 24364148 36546222 48728296 62819501 73092444 97456592 125639002 146184888 188458503 194913184 251278004 292369776 376917006 502556008 584739552 753834012 1005112016 1507668024 2010224032 3015336048 4208906567 6030672096 8417813134 12626719701 16835626268 25253439402 33671252536 50506878804 67342505072 101013757608 134685010144 202027515216 404055030432