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315305224104 = 2331310348720147
BaseRepresentation
bin1001001011010011010…
…01111110011110101000
31010010212011101222012010
410211221221332132220
520131221114132404
6400503233115520
731531362120063
oct4455151763650
91103764358163
10315305224104
111117a1640742
12511370b8ba0
132396b984530
1411391ad98da
1583061b5189
hex4969a7e7a8

315305224104 has 128 divisors (see below), whose sum is σ = 858943088640. Its totient is φ = 95873041152.

The previous prime is 315305224093. The next prime is 315305224139. The reversal of 315305224104 is 401422503513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15640159 + ... + 15660305.

It is an arithmetic number, because the mean of its divisors is an integer number (6710492880).

Almost surely, 2315305224104 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 315305224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429471544320).

315305224104 is an abundant number, since it is smaller than the sum of its proper divisors (543637864536).

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

315305224104 is a wasteful number, since it uses less digits than its factorization.

315305224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759 (or 20755 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 315305224104 its reverse (401422503513), we get a palindrome (716727727617).

The spelling of 315305224104 in words is "three hundred fifteen billion, three hundred five million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 487 618 824 974 1236 1339 1461 1948 2472 2678 2922 3896 4017 5356 5844 6331 8034 10712 11688 12662 16068 18993 20147 25324 32136 37986 40294 50161 50648 60441 75972 80588 100322 120882 150483 151944 161176 200644 241764 261911 300966 401288 483528 523822 601932 652093 785733 1047644 1203864 1304186 1571466 1956279 2075141 2095288 2608372 3142932 3912558 4150282 5216744 6225423 6285864 7825116 8300564 9811589 12450846 15650232 16601128 19623178 24901692 26976833 29434767 39246356 49803384 53953666 58869534 78492712 80930499 107907332 117739068 127550657 161860998 215814664 235478136 255101314 323721996 382651971 510202628 647443992 765303942 1010593667 1020405256 1530607884 2021187334 3031781001 3061215768 4042374668 6063562002 8084749336 12127124004 13137717671 24254248008 26275435342 39413153013 52550870684 78826306026 105101741368 157652612052 315305224104