Search a number
-
+
433404300040 = 235101910633079
BaseRepresentation
bin1100100111010001110…
…10001100101100001000
31112102200200122122002121
412103220322030230020
524100103000100130
6531034142141024
743212106523605
oct6235072145410
91472620578077
10433404300040
11157895479438
126bbb6281774
1331b400a355a
1416d967b76ac
15b419328d7a
hex64e8e8cb08

433404300040 has 32 divisors (see below), whose sum is σ = 976116744000. Its totient is φ = 173191574464.

The previous prime is 433404300029. The next prime is 433404300061. The reversal of 433404300040 is 40003404334.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 433404299978 and 433404300014.

It is an unprimeable number.

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, 5275780 + ... + 5357299.

It is an arithmetic number, because the mean of its divisors is an integer number (30503648250).

Almost surely, 2433404300040 is an apocalyptic number.

433404300040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433404300040 is an abundant number, since it is smaller than the sum of its proper divisors (542712443960).

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

433404300040 is a wasteful number, since it uses less digits than its factorization.

433404300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634109 (or 10634105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 433404300040 its reverse (40003404334), we get a palindrome (473407704374).

The spelling of 433404300040 in words is "four hundred thirty-three billion, four hundred four million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1019 2038 4076 5095 8152 10190 20380 40760 10633079 21266158 42532316 53165395 85064632 106330790 212661580 425323160 10835107501 21670215002 43340430004 54175537505 86680860008 108351075010 216702150020 433404300040