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302214313241104 = 2411157106910231163
BaseRepresentation
bin100010010110111001100000…
…0110010010110101000010000
31110122001101222002222002220111
41010231303000302112220100
5304102434403142203404
62550431201105451104
7120441156261456055
oct10455630062265020
91418041862862814
10302214313241104
1188327409128390
1229a8b1aa040a94
13cc828c244cb94
14548b3722dd02c
1524e144b66b104
hex112dcc0c96a10

302214313241104 has 80 divisors (see below), whose sum is σ = 643441177932480. Its totient is φ = 136367475079680.

The previous prime is 302214313241059. The next prime is 302214313241111. The reversal of 302214313241104 is 401142313412203.

It is a happy number.

It is a super-2 number, since 2×3022143132411042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24423027 + ... + 34654189.

It is an arithmetic number, because the mean of its divisors is an integer number (8043014724156).

Almost surely, 2302214313241104 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 302214313241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321720588966240).

302214313241104 is an abundant number, since it is smaller than the sum of its proper divisors (341226864691376).

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

302214313241104 is a wasteful number, since it uses less digits than its factorization.

302214313241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232408 (or 10232402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 302214313241104 its reverse (401142313412203), we get a palindrome (703356626653307).

The spelling of 302214313241104 in words is "three hundred two trillion, two hundred fourteen billion, three hundred thirteen million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 157 176 314 628 1069 1256 1727 2138 2512 3454 4276 6908 8552 11759 13816 17104 23518 27632 47036 94072 167833 188144 335666 671332 1342664 1846163 2685328 3692326 7384652 10231163 14769304 20462326 29538608 40924652 81849304 112542793 163698608 225085586 450171172 900342344 1606292591 1800684688 3212585182 6425170364 10937113247 12850340728 17669218501 21874226494 25700681456 35338437002 43748452988 70676874004 87496905976 120308245717 141353748008 174993811952 240616491434 282707496016 481232982868 962465965736 1717126779779 1924931931472 3434253559558 6868507119116 13737014238232 18888394577569 27474028476464 37776789155138 75553578310276 151107156620552 302214313241104