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315321676540 = 225132942739787
BaseRepresentation
bin1001001011010101010…
…00101111001011111100
31010010220022100211200121
410211222220233023330
520131234322122130
6400505021504324
731531652012263
oct4455250571374
91103808324617
10315321676540
111117aa9586a2
12511407120a4
13239721c4cc0
1411393d7d5da
158307864d7a
hex496aa2f2fc

315321676540 has 96 divisors (see below), whose sum is σ = 737950207680. Its totient is φ = 112373968896.

The previous prime is 315321676531. The next prime is 315321676577. The reversal of 315321676540 is 45676123513.

It is a congruent number.

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, 32213527 + ... + 32223313.

It is an arithmetic number, because the mean of its divisors is an integer number (7686981330).

Almost surely, 2315321676540 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 315321676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368975103840).

315321676540 is an abundant number, since it is smaller than the sum of its proper divisors (422628531140).

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

315321676540 is a wasteful number, since it uses less digits than its factorization.

315321676540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14109 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 315321676540 in words is "three hundred fifteen billion, three hundred twenty-one million, six hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 4273 7540 8546 9787 17092 19574 21365 39148 42730 48935 55549 85460 97870 111098 123917 127231 195740 222196 247834 254462 277745 283823 495668 508924 555490 567646 619585 636155 1110980 1135292 1239170 1272310 1419115 1610921 2478340 2544620 2838230 3221842 3689699 5676460 6443684 7379398 8054605 14758796 16109210 18448495 32218420 36896990 41819851 73793980 83639702 167279404 209099255 418198510 543658063 836397020 1087316126 1212775679 2174632252 2425551358 2718290315 4851102716 5436580630 6063878395 10873161260 12127756790 15766083827 24255513580 31532167654 63064335308 78830419135 157660838270 315321676540