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1314216216352 = 251317533506297
BaseRepresentation
bin10011000111111101011…
…001000000011100100000
311122122012222200001212201
4103013331121000130200
5133013003322410402
62443424222302544
7163643334344314
oct23077531003440
94578188601781
101314216216352
114673a0879a26
12192854427a54
1396c1244a790
1447873665b44
15242bc017687
hex131fd640720

1314216216352 has 96 divisors (see below), whose sum is σ = 3005963300592. Its totient is φ = 560109748224.

The previous prime is 1314216216343. The next prime is 1314216216353. The reversal of 1314216216352 is 2536126124131.

It can be written as a sum of positive squares in 8 ways, for example, as 916009783056 + 398206433296 = 957084^2 + 631036^2 .

It is not an unprimeable number, because it can be changed into a prime (1314216216353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378333 + ... + 2127964.

Almost surely, 21314216216352 is an apocalyptic number.

It is an amenable number.

1314216216352 is an abundant number, since it is smaller than the sum of its proper divisors (1691747084240).

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

1314216216352 is a wasteful number, since it uses less digits than its factorization.

1314216216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506390 (or 3506382 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The spelling of 1314216216352 in words is "one trillion, three hundred fourteen billion, two hundred sixteen million, two hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 68 104 106 136 208 212 221 272 416 424 442 544 689 848 884 901 1378 1696 1768 1802 2756 3536 3604 5512 7072 7208 11024 11713 14416 22048 23426 28832 46852 93704 187408 374816 3506297 7012594 14025188 28050376 45581861 56100752 59607049 91163722 112201504 119214098 182327444 185833741 238428196 364654888 371667482 476856392 729309776 743334964 774891637 953712784 1458619552 1486669928 1549783274 1907425568 2415838633 2973339856 3099566548 3159173597 4831677266 5946679712 6199133096 6318347194 9663354532 12398266192 12636694388 19326709064 24796532384 25273388776 38653418128 41069256761 50546777552 77306836256 82138513522 101093555104 164277027044 328554054088 657108108176 1314216216352