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315300343440 = 243510613123787
BaseRepresentation
bin1001001011010010101…
…11010110111010010000
31010010211211020000011210
410211221113112322100
520131213341442230
6400502540340120
731531302461535
oct4455127267220
91103754200153
10315300343440
11111799907835
1251135544640
132396a965b74
14113911c8d8c
158305a4deb0
hex49695d6e90

315300343440 has 80 divisors (see below), whose sum is σ = 977531059008. Its totient is φ = 84071490048.

The previous prime is 315300343427. The next prime is 315300343441. The reversal of 315300343440 is 44343003513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315300343398 and 315300343407.

It is not an unprimeable number, because it can be changed into a prime (315300343441) 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, 2485227 + ... + 2609013.

Almost surely, 2315300343440 is an apocalyptic number.

315300343440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315300343440 is an abundant number, since it is smaller than the sum of its proper divisors (662230715568).

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

315300343440 is a wasteful number, since it uses less digits than its factorization.

315300343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134416 (or 134410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 315300343440 its reverse (44343003513), we get a palindrome (359643346953).

The spelling of 315300343440 in words is "three hundred fifteen billion, three hundred million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10613 21226 31839 42452 53065 63678 84904 106130 123787 127356 159195 169808 212260 247574 254712 318390 371361 424520 495148 509424 618935 636780 742722 849040 990296 1237870 1273560 1485444 1856805 1980592 2475740 2547120 2970888 3713610 4951480 5941776 7427220 9902960 14854440 29708880 1313751431 2627502862 3941254293 5255005724 6568757155 7882508586 10510011448 13137514310 15765017172 19706271465 21020022896 26275028620 31530034344 39412542930 52550057240 63060068688 78825085860 105100114480 157650171720 315300343440