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315143320404 = 2231143325717047
BaseRepresentation
bin1001001011000000000…
…00010111001101010100
31010010102212202102001210
410211200000113031110
520130403142223104
6400435211021420
731524355011453
oct4454000271524
91103385672053
10315143320404
11111719209030
12510b0a3a870
1323944278423
14113783d2b9a
1582e6d83989
hex4960017354

315143320404 has 96 divisors (see below), whose sum is σ = 821138605056. Its totient is φ = 93242983680.

The previous prime is 315143320399. The next prime is 315143320441. The reversal of 315143320404 is 404023341513.

It is a super-3 number, since 3×3151433204043 (a number of 35 digits) contains 333 as substring.

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, 18478209 + ... + 18495255.

It is an arithmetic number, because the mean of its divisors is an integer number (8553527136).

Almost surely, 2315143320404 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 315143320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410569302528).

315143320404 is an abundant number, since it is smaller than the sum of its proper divisors (505995284652).

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

315143320404 is a wasteful number, since it uses less digits than its factorization.

315143320404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 315143320404 its reverse (404023341513), we get a palindrome (719166661917).

The spelling of 315143320404 in words is "three hundred fifteen billion, one hundred forty-three million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 3257 5676 6514 9771 13028 17047 19542 34094 35827 39084 51141 68188 71654 102282 107481 140051 143308 187517 204564 214962 280102 375034 420153 429924 560204 562551 733021 750068 840306 1125102 1466042 1540561 1680612 2199063 2250204 2932084 3081122 4398126 4621683 6162244 8063231 8796252 9243366 16126462 18486732 24189693 32252924 48379386 55522079 96758772 111044158 166566237 222088316 333132474 610742869 666264948 1221485738 1832228607 2387449397 2442971476 3664457214 4774898794 7162348191 7328914428 9549797588 14324696382 26261943367 28649392764 52523886734 78785830101 105047773468 157571660202 315143320404