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304131146216 = 23292315932459
BaseRepresentation
bin1000110110011111010…
…00010000000111101000
31002002000102101222222112
410123033220100013220
514440330033134331
6351414345541452
730654440042402
oct4331750200750
91062012358875
10304131146216
11107a88115627
124ab38aa4888
13228aa97a721
1410a11a73b72
157da01dc32b
hex46cfa101e8

304131146216 has 96 divisors (see below), whose sum is σ = 610915219200. Its totient is φ = 141788451840.

The previous prime is 304131146203. The next prime is 304131146237. The reversal of 304131146216 is 612641131403.

It is a happy number.

It is a super-2 number, since 2×3041311462162 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 123679595 + ... + 123682053.

It is an arithmetic number, because the mean of its divisors is an integer number (6363700200).

Almost surely, 2304131146216 is an apocalyptic number.

It is an amenable number.

304131146216 is an abundant number, since it is smaller than the sum of its proper divisors (306784072984).

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

304131146216 is a wasteful number, since it uses less digits than its factorization.

304131146216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 304131146216 its reverse (612641131403), we get a palindrome (916772277619).

The spelling of 304131146216 in words is "three hundred four billion, one hundred thirty-one million, one hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 593 841 899 1186 1682 1798 2372 2459 3364 3596 4744 4918 6728 7192 9836 17197 18383 19672 26071 34394 36766 52142 68788 71311 73532 76229 104284 137576 142622 147064 152458 208568 285244 304916 498713 533107 570488 609832 997426 1066214 1458187 1994852 2068019 2132428 2210641 2916374 3989704 4136038 4264856 4421282 5832748 8272076 8842564 11665496 15460103 16544152 17685128 30920206 42287423 45203797 61840412 64108589 84574846 90407594 123680824 128217178 169149692 180815188 256434356 338299384 361630376 512868712 1226335267 1310910113 2452670534 2621820226 4905341068 5243640452 9810682136 10487280904 38016393277 76032786554 152065573108 304131146216