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315143201232 = 243335311871741
BaseRepresentation
bin1001001010111111111…
…11111010000111010000
31010010102212112100121000
410211133333322013100
520130403124414412
6400435204302000
731524354004146
oct4453777720720
91103385470530
10315143201232
11111719137542
12510b09a1900
1323944236102
14113783a1596
1582e6d5d4dc
hex495fffa1d0

315143201232 has 160 divisors (see below), whose sum is σ = 908425964160. Its totient is φ = 104601784320.

The previous prime is 315143201189. The next prime is 315143201267. The reversal of 315143201232 is 232102341513.

315143201232 is a `hidden beast` number, since 3 + 1 + 514 + 3 + 20 + 123 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 315143201196 and 315143201205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181011882 + ... + 181013622.

It is an arithmetic number, because the mean of its divisors is an integer number (5677662276).

Almost surely, 2315143201232 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 315143201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454212982080).

315143201232 is an abundant number, since it is smaller than the sum of its proper divisors (593282762928).

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

315143201232 is a wasteful number, since it uses less digits than its factorization.

315143201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 315143201232 its reverse (232102341513), we get a palindrome (547245542745).

The spelling of 315143201232 in words is "three hundred fifteen billion, one hundred forty-three million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 353 432 706 1059 1187 1412 1741 2118 2374 2824 3177 3482 3561 4236 4748 5223 5648 6354 6964 7122 8472 9496 9531 10446 10683 12708 13928 14244 15669 16944 18992 19062 20892 21366 25416 27856 28488 31338 32049 38124 41784 42732 47007 50832 56976 62676 64098 76248 83568 85464 94014 125352 128196 152496 170928 188028 250704 256392 376056 419011 512784 614573 752112 838022 1229146 1257033 1676044 1843719 2066567 2458292 2514066 3352088 3687438 3771099 4133134 4916584 5028132 5531157 6199701 6704176 7374876 7542198 8266268 9833168 10056264 11062314 11313297 12399402 14749752 15084396 16532536 16593471 18599103 20112528 22124628 22626594 24798804 29499504 30168792 33065072 33186942 37198206 44249256 45253188 49597608 55797309 60337584 66373884 74396412 88498512 90506376 99195216 111594618 132747768 148792824 181012752 223189236 265495536 297585648 446378472 729498151 892756944 1458996302 2188494453 2917992604 4376988906 5835985208 6565483359 8753977812 11671970416 13130966718 17507955624 19696450077 26261933436 35015911248 39392900154 52523866872 78785800308 105047733744 157571600616 315143201232