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1314442320400 = 2452111012957791
BaseRepresentation
bin10011001000001010110…
…111100001101000010000
311122122210202010100022201
4103020022313201220100
5133013434213223100
62443502500412544
7163652051242636
oct23101267415020
94578722110281
101314442320400
114674a7471280
121928b80a7154
1396c4a244661
14478956c1356
15242d1ccb36a
hex1320ade1a10

1314442320400 has 120 divisors (see below), whose sum is σ = 3479144249088. Its totient is φ = 473246400000.

The previous prime is 1314442320371. The next prime is 1314442320439. The reversal of 1314442320400 is 40232444131.

It is a super-2 number, since 2×13144423204002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034496 + ... + 1923295.

Almost surely, 21314442320400 is an apocalyptic number.

1314442320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314442320400 is an abundant number, since it is smaller than the sum of its proper divisors (2164701928688).

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

1314442320400 is a wasteful number, since it uses less digits than its factorization.

1314442320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957921 (or 2957910 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1314442320400 its reverse (40232444131), we get a palindrome (1354674764531).

The spelling of 1314442320400 in words is "one trillion, three hundred fourteen billion, four hundred forty-two million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 2957791 5915582 11831164 14788955 23662328 29577910 32535701 47324656 59155820 65071402 73944775 118311640 130142804 147889550 162678505 236623280 260285608 295779100 298736891 325357010 520571216 591558200 597473782 650714020 813392525 1183116400 1194947564 1301428040 1493684455 1626785050 2389895128 2602856080 2987368910 3253570100 3286105801 4779790256 5974737820 6507140200 6572211602 7468422275 11949475640 13014280400 13144423204 14936844550 16430529005 23898951280 26288846408 29873689100 32861058010 52577692816 59747378200 65722116020 82152645025 119494756400 131444232040 164305290050 262888464080 328610580100 657221160200 1314442320400