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315323340240 = 24356072164493
BaseRepresentation
bin1001001011010101011…
…11000101010111010000
31010010220102111100212010
410211222233011113100
520131240233341430
6400505121302520
731532002111566
oct4455257052720
91103812440763
10315323340240
11111800894657
1251141194a40
132397265833c
1411394293a36
158307a92cb0
hex496abc55d0

315323340240 has 80 divisors (see below), whose sum is σ = 979113189888. Its totient is φ = 83947657728.

The previous prime is 315323340217. The next prime is 315323340251. The reversal of 315323340240 is 42043323513.

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

It is a super-2 number, since 2×3153233402402 (a number of 24 digits) contains 22 as substring.

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 = 315323340198 and 315323340207.

It is a congruent number.

It is an unprimeable number.

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, 936567 + ... + 1227926.

Almost surely, 2315323340240 is an apocalyptic number.

315323340240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315323340240 is an abundant number, since it is smaller than the sum of its proper divisors (663789849648).

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

315323340240 is a wasteful number, since it uses less digits than its factorization.

315323340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165116 (or 2165110 counting only the distinct ones).

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

Adding to 315323340240 its reverse (42043323513), we get a palindrome (357366663753).

The spelling of 315323340240 in words is "three hundred fifteen billion, three hundred twenty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607 1214 1821 2428 3035 3642 4856 6070 7284 9105 9712 12140 14568 18210 24280 29136 36420 48560 72840 145680 2164493 4328986 6493479 8657972 10822465 12986958 17315944 21644930 25973916 32467395 34631888 43289860 51947832 64934790 86579720 103895664 129869580 173159440 259739160 519478320 1313847251 2627694502 3941541753 5255389004 6569236255 7883083506 10510778008 13138472510 15766167012 19707708765 21021556016 26276945020 31532334024 39415417530 52553890040 63064668048 78830835060 105107780080 157661670120 315323340240