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104435443432 = 233197103113373
BaseRepresentation
bin110000101000011010…
…1100110011011101000
3100222120021201012210101
41201100311212123220
53202340433142212
6115551005555144
710355002423315
oct1412065463350
9328507635711
10104435443432
11403220a3431
12182a7275ab4
139b04702298
1450aa163d0c
152ab3825157
hex1850d666e8

104435443432 has 128 divisors (see below), whose sum is σ = 208582133760. Its totient is φ = 48956866560.

The previous prime is 104435443397. The next prime is 104435443487. The reversal of 104435443432 is 234344534401.

104435443432 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 = 104435443391 and 104435443400.

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 31 ways as a sum of consecutive naturals, for example, 279987598 + ... + 279987970.

It is an arithmetic number, because the mean of its divisors is an integer number (1629547920).

Almost surely, 2104435443432 is an apocalyptic number.

It is an amenable number.

104435443432 is a deficient number, since it is larger than the sum of its proper divisors (104146690328).

104435443432 is a wasteful number, since it uses less digits than its factorization.

104435443432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 104435443432 its reverse (234344534401), we get a palindrome (338779977833).

The spelling of 104435443432 in words is "one hundred four billion, four hundred thirty-five million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 31 62 97 103 113 124 194 206 226 248 373 388 412 452 746 776 824 904 1492 2984 3007 3193 3503 6014 6386 7006 9991 10961 11563 11639 12028 12772 14012 19982 21922 23126 23278 24056 25544 28024 36181 38419 39964 42149 43844 46252 46556 72362 76838 79928 84298 87688 92504 93112 144724 153676 168596 289448 307352 309721 337192 339791 360809 619442 679582 721618 1121611 1128983 1190989 1238884 1306619 1359164 1443236 2243222 2257966 2381978 2477768 2613238 2718328 2886472 3726643 4088453 4341347 4486444 4515932 4763956 5226476 7453286 8176906 8682694 8972888 9031864 9527912 10452952 14906572 16353812 17365388 29813144 32707624 34730776 34998473 69996946 115525933 126742043 134581757 139993892 231051866 253484086 269163514 279987784 421110659 462103732 506968172 538327028 842221318 924207464 1013936344 1076654056 1684442636 3368885272 13054430429 26108860858 52217721716 104435443432