Search a number
-
+
30909391120404 = 223222931311978657
BaseRepresentation
bin1110000011100101001110…
…10001110010100000010100
311001102220112121112012001200
413001302213101302200110
513022404413111323104
6145423324522552500
76340062345360426
oct701624721624024
9131386477465050
1030909391120404
119937665532685
123572544668730
1314329876cb324
1478c045aba816
153890569deb39
hex1c1ca7472814

30909391120404 has 72 divisors (see below), whose sum is σ = 78723979949160. Its totient is φ = 10225364078592.

The previous prime is 30909391120403. The next prime is 30909391120417. The reversal of 30909391120404 is 40402119390903.

30909391120404 is a `hidden beast` number, since 3 + 0 + 90 + 9 + 39 + 1 + 120 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830852548100 + 29078538572304 = 1353090^2 + 5392452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30909391120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30909391120403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3408957 + ... + 8569700.

It is an arithmetic number, because the mean of its divisors is an integer number (1093388610405).

Almost surely, 230909391120404 is an apocalyptic number.

It is an amenable number.

30909391120404 is an abundant number, since it is smaller than the sum of its proper divisors (47814588828756).

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

30909391120404 is a wasteful number, since it uses less digits than its factorization.

30909391120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979209 (or 11979204 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 30909391120404 in words is "thirty trillion, nine hundred nine billion, three hundred ninety-one million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 229 313 458 626 687 916 939 1252 1374 1878 2061 2748 2817 3756 4122 5634 8244 11268 71677 143354 215031 286708 430062 645093 860124 1290186 2580372 11978657 23957314 35935971 47914628 71871942 107807913 143743884 215615826 431231652 2743112453 3749319641 5486224906 7498639282 8229337359 10972449812 11247958923 14997278564 16458674718 22495917846 24688012077 32917349436 33743876769 44991835692 49376024154 67487753538 98752048308 134975507076 858594197789 1717188395578 2575782593367 3434376791156 5151565186734 7727347780101 10303130373468 15454695560202 30909391120404