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104434324040 = 235107151283571
BaseRepresentation
bin110000101000011000…
…1010101001001001000
3100222120012121100021102
41201100301111021020
53202340141332130
6115550530000532
710354660051634
oct1412061251110
9328505540242
10104434324040
11403214a9412
12182a6a16148
139b043cc917
1450a9d51dc4
152ab36a3645
hex1850c55248

104434324040 has 128 divisors (see below), whose sum is σ = 240007173120. Its totient is φ = 40892256000.

The previous prime is 104434324037. The next prime is 104434324069. The reversal of 104434324040 is 40423434401.

It is a happy number.

104434324040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 104434323994 and 104434324012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182896955 + ... + 182897525.

It is an arithmetic number, because the mean of its divisors is an integer number (1875056040).

Almost surely, 2104434324040 is an apocalyptic number.

104434324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104434324040 is an abundant number, since it is smaller than the sum of its proper divisors (135572849080).

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

104434324040 is a wasteful number, since it uses less digits than its factorization.

104434324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 104434324040 its reverse (40423434401), we get a palindrome (144857758441).

The spelling of 104434324040 in words is "one hundred four billion, four hundred thirty-four million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 151 214 283 302 428 535 566 571 604 755 856 1070 1132 1142 1208 1415 1510 2140 2264 2284 2830 2855 3020 4280 4568 5660 5710 6040 11320 11420 16157 22840 30281 32314 42733 60562 61097 64628 80785 85466 86221 121124 122194 129256 151405 161570 161593 170932 172442 213665 242248 244388 302810 305485 323140 323186 341864 344884 427330 431105 488776 605620 610970 646280 646372 689768 807965 854660 862210 1211240 1221940 1292744 1615930 1709320 1724420 2443880 3231860 3448840 4572431 6463720 9144862 9225647 17290451 18289724 18451294 22862155 24400543 34580902 36579448 36902588 45724310 46128235 48801086 69161804 73805176 86452255 91448620 92256470 97602172 122002715 138323608 172904510 182897240 184512940 195204344 244005430 345809020 369025880 488010860 691618040 976021720 2610858101 5221716202 10443432404 13054290505 20886864808 26108581010 52217162020 104434324040