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301315242140 = 225116720442011
BaseRepresentation
bin1000110001001111100…
…10011011100010011100
31001210202011210020202222
410120213302123202130
514414043200222030
6350231115204512
730524605204463
oct4304762334234
91053664706688
10301315242140
11106872665180
124a491a46738
132254c4724b3
1410825aad9da
157c87db03e5
hex4627c9b89c

301315242140 has 48 divisors (see below), whose sum is σ = 700588635264. Its totient is φ = 107933812800.

The previous prime is 301315242133. The next prime is 301315242143. The reversal of 301315242140 is 41242513103.

It is a happy number.

It is a super-3 number, since 3×3013152421403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301315242143) 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 15 ways as a sum of consecutive naturals, for example, 10206266 + ... + 10235745.

It is an arithmetic number, because the mean of its divisors is an integer number (14595596568).

Almost surely, 2301315242140 is an apocalyptic number.

It is an amenable number.

301315242140 is an abundant number, since it is smaller than the sum of its proper divisors (399273393124).

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

301315242140 is a wasteful number, since it uses less digits than its factorization.

301315242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20442098 (or 20442096 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 301315242140 its reverse (41242513103), we get a palindrome (342557755243).

The spelling of 301315242140 in words is "three hundred one billion, three hundred fifteen million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 20442011 40884022 81768044 102210055 204420110 224862121 408840220 449724242 899448484 1124310605 1369614737 2248621210 2739229474 4497242420 5478458948 6848073685 13696147370 15065762107 27392294740 30131524214 60263048428 75328810535 150657621070 301315242140