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304411442130 = 23259797135911
BaseRepresentation
bin1000110111000000101…
…01011111101111010010
31002002201221211111200200
410123200111133233102
514441413312122010
6351502241400030
730664412364555
oct4334025375722
91062657744620
10304411442130
11108111361044
124abb6939016
1322923a699b3
1410a3ad9869c
157db9b07cc0
hex46e055fbd2

304411442130 has 96 divisors (see below), whose sum is σ = 800475032448. Its totient is φ = 80254540800.

The previous prime is 304411442129. The next prime is 304411442141. The reversal of 304411442130 is 31244114403.

304411442130 is a `hidden beast` number, since 3 + 0 + 441 + 1 + 4 + 4 + 213 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 304411442094 and 304411442103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8458875 + ... + 8494785.

It is an arithmetic number, because the mean of its divisors is an integer number (8338281588).

Almost surely, 2304411442130 is an apocalyptic number.

304411442130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304411442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400237516224).

304411442130 is an abundant number, since it is smaller than the sum of its proper divisors (496063590318).

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

304411442130 is a wasteful number, since it uses less digits than its factorization.

304411442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36992 (or 36989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 304411442130 its reverse (31244114403), we get a palindrome (335655556533).

The spelling of 304411442130 in words is "three hundred four billion, four hundred eleven million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 971 1455 1746 1942 2910 2913 4365 4855 5826 8730 8739 9710 14565 17478 29130 35911 43695 71822 87390 94187 107733 179555 188374 215466 282561 323199 359110 470935 538665 565122 646398 847683 941870 1077330 1412805 1615995 1695366 2825610 3231990 3483367 4238415 6966734 8476830 10450101 17416835 20900202 31350303 34833670 34869581 52250505 62700606 69739162 104501010 104608743 156751515 174347905 209217486 313503030 313826229 348695810 523043715 627652458 1046087430 1569131145 3138262290 3382349357 6764698714 10147048071 16911746785 20294096142 30441144213 33823493570 50735240355 60882288426 101470480710 152205721065 304411442130