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315223334040 = 23356152382339
BaseRepresentation
bin1001001011001001100…
…01100101110010011000
31010010122110022112010210
410211210301211302120
520131034133142130
6400451150011120
731526346062406
oct4454461456230
91103573275123
10315223334040
1111175a3994aa
12511137a6aa0
1323957a11a84
1411384ca0476
1582edddb5b0
hex4964c65c98

315223334040 has 128 divisors (see below), whose sum is σ = 963022291200. Its totient is φ = 82522437120.

The previous prime is 315223334039. The next prime is 315223334093. The reversal of 315223334040 is 40433322513.

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 = 315223333989 and 315223334007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3787191 + ... + 3869529.

It is an arithmetic number, because the mean of its divisors is an integer number (7523611650).

Almost surely, 2315223334040 is an apocalyptic number.

315223334040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315223334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481511145600).

315223334040 is an abundant number, since it is smaller than the sum of its proper divisors (647798957160).

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

315223334040 is a wasteful number, since it uses less digits than its factorization.

315223334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82937 (or 82933 counting only the distinct ones).

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

Adding to 315223334040 its reverse (40433322513), we get a palindrome (355656656553).

The spelling of 315223334040 in words is "three hundred fifteen billion, two hundred twenty-three million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 523 610 732 915 1046 1220 1464 1569 1830 2092 2440 2615 3138 3660 4184 5230 6276 7320 7845 10460 12552 15690 20920 31380 31903 62760 63806 82339 95709 127612 159515 164678 191418 247017 255224 319030 329356 382836 411695 478545 494034 638060 658712 765672 823390 957090 988068 1235085 1276120 1646780 1914180 1976136 2470170 3293560 3828360 4940340 5022679 9880680 10045358 15068037 20090716 25113395 30136074 40181432 43063297 50226790 60272148 75340185 86126594 100453580 120544296 129189891 150680370 172253188 200907160 215316485 258379782 301360740 344506376 430632970 516759564 602721480 645949455 861265940 1033519128 1291898910 1722531880 2583797820 2626861117 5167595640 5253722234 7880583351 10507444468 13134305585 15761166702 21014888936 26268611170 31522333404 39402916755 52537222340 63044666808 78805833510 105074444680 157611667020 315223334040