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313104040342340 = 225131770838018177
BaseRepresentation
bin100011100110001000011011…
…1000110100011001101000100
31112001121110020220201010010012
41013030100313012203031010
5312014344033311423330
63025530002130245352
7122644010000535632
oct10714206706431504
91461543226633105
10313104040342340
1190845750193315
122b1497b1726858
1310592779977980
145746460334352
15262e84bcc3c95
hex11cc4371a3344

313104040342340 has 48 divisors (see below), whose sum is σ = 749749584395952. Its totient is φ = 108807195918336.

The previous prime is 313104040342339. The next prime is 313104040342351. The reversal of 313104040342340 is 43243040401313.

It can be written as a sum of positive squares in 8 ways, for example, as 44267944469056 + 268836095873284 = 6653416^2 + 16396222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313104040342297 and 313104040342306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35419004669 + ... + 35419013508.

It is an arithmetic number, because the mean of its divisors is an integer number (15619783008249).

Almost surely, 2313104040342340 is an apocalyptic number.

It is an amenable number.

313104040342340 is an abundant number, since it is smaller than the sum of its proper divisors (436645544053612).

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

313104040342340 is a wasteful number, since it uses less digits than its factorization.

313104040342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70838018216 (or 70838018214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 313104040342340 its reverse (43243040401313), we get a palindrome (356347080743653).

The spelling of 313104040342340 in words is "three hundred thirteen trillion, one hundred four billion, forty million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 70838018177 141676036354 283352072708 354190090885 708380181770 920894236301 1204246309009 1416760363540 1841788472602 2408492618018 3683576945204 4604471181505 4816985236036 6021231545045 9208942363010 12042463090090 15655202017117 18417884726020 24084926180180 31310404034234 62620808068468 78276010085585 156552020171170 313104040342340