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4315120404 = 22371727710909
BaseRepresentation
bin1000000010011001…
…11000001100010100
3102010201122211101020
410001030320030110
532314132323104
61552104001140
7211634626650
oct40114701424
912121584336
104315120404
111914855911
12a051601b0
13539cb48aa
142cd141a60
151a3c6e2d9
hex101338314

4315120404 has 96 divisors (see below), whose sum is σ = 12228975360. Its totient is φ = 1156073472.

The previous prime is 4315120393. The next prime is 4315120409. The reversal of 4315120404 is 4040215134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390102 + ... + 401010.

It is an arithmetic number, because the mean of its divisors is an integer number (127385160).

Almost surely, 24315120404 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 4315120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114487680).

4315120404 is an abundant number, since it is smaller than the sum of its proper divisors (7913854956).

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

4315120404 is a wasteful number, since it uses less digits than its factorization.

4315120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217 (or 11215 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4315120404 is about 65689.5760680490. The cubic root of 4315120404 is about 1628.0371323886.

Adding to 4315120404 its reverse (4040215134), we get a palindrome (8355335538).

The spelling of 4315120404 in words is "four billion, three hundred fifteen million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 277 357 476 554 714 831 1108 1428 1662 1939 3324 3878 4709 5817 7756 9418 10909 11634 14127 18836 21818 23268 28254 32727 32963 43636 56508 65454 65926 76363 98889 130908 131852 152726 185453 197778 229089 305452 370906 395556 458178 556359 741812 916356 1112718 1298171 2225436 2596342 3021793 3894513 5192684 6043586 7789026 9065379 12087172 15578052 18130758 21152551 36261516 42305102 51370481 63457653 84610204 102740962 126915306 154111443 205481924 253830612 308222886 359593367 616445772 719186734 1078780101 1438373468 2157560202 4315120404