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1311446442460 = 2257111750093447
BaseRepresentation
bin10011000101011000010…
…011001010000111011100
311122101001221211222101111
4103011120103022013130
5132441320242124320
62442245320351404
7163514602555630
oct23053023120734
94571057758344
101311446442460
114661aa3668a0
12192200915564
139689067440b
144768d86cdc0
15241a8c9da5a
hex131584ca1dc

1311446442460 has 96 divisors (see below), whose sum is σ = 3635582082048. Its totient is φ = 384717665280.

The previous prime is 1311446442437. The next prime is 1311446442533. The reversal of 1311446442460 is 642446441131.

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, 25020544 + ... + 25072903.

It is an arithmetic number, because the mean of its divisors is an integer number (37870646688).

Almost surely, 21311446442460 is an apocalyptic number.

1311446442460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311446442460 is an abundant number, since it is smaller than the sum of its proper divisors (2324135639588).

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

1311446442460 is a wasteful number, since it uses less digits than its factorization.

1311446442460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50093491 (or 50093489 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 1311446442460 in words is "one trillion, three hundred eleven billion, four hundred forty-six million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 13090 26180 50093447 100186894 200373788 250467235 350654129 500934470 551027917 701308258 851588599 1001868940 1102055834 1402616516 1703177198 1753270645 2204111668 2755139585 3406354396 3506541290 3857195419 4257942995 5510279170 5961120193 7013082580 7714390838 8515885990 9367474589 11020558340 11922240386 15428781676 17031771980 18734949178 19285977095 23844480772 29805600965 37469898356 38571954190 46837372945 59611201930 65572322123 77143908380 93674745890 119222403860 131144644246 187349491780 262289288492 327861610615 655723221230 1311446442460