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13142414005400 = 2352619275338561
BaseRepresentation
bin1011111100111111010011…
…1010110001010010011000
31201112101212102120120220002
42333033310322301102120
53210311130441133100
643541312554552132
72524336161565331
oct277176472612230
951471772516802
1013142414005400
1142077370a1919
121583107a38648
1374442a6caa74
1433614c0bb288
1517bce72992d5
hexbf3f4eb1498

13142414005400 has 96 divisors (see below), whose sum is σ = 30617387348400. Its totient is φ = 5246430412800.

The previous prime is 13142414005361. The next prime is 13142414005403. The reversal of 13142414005400 is 450041424131.

It is a super-3 number, since 3×131424140054003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142414005403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340802120 + ... + 340840680.

Almost surely, 213142414005400 is an apocalyptic number.

13142414005400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142414005400 is an abundant number, since it is smaller than the sum of its proper divisors (17474973343000).

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

13142414005400 is a wasteful number, since it uses less digits than its factorization.

13142414005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41949 (or 41940 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 13142414005400 its reverse (450041424131), we get a palindrome (13592455429531).

The spelling of 13142414005400 in words is "thirteen trillion, one hundred forty-two billion, four hundred fourteen million, five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 619 1238 2476 2753 3095 4952 5506 6190 11012 12380 13765 15475 22024 24760 27530 30950 38561 55060 61900 68825 77122 110120 123800 137650 154244 192805 275300 308488 385610 550600 771220 964025 1542440 1704107 1928050 3408214 3856100 6816428 7712200 8520535 13632856 17041070 23869259 34082140 42602675 47738518 68164280 85205350 95477036 106158433 119346295 170410700 190954072 212316866 238692590 340821400 424633732 477385180 530792165 596731475 849267464 954770360 1061584330 1193462950 2123168660 2386925900 2653960825 4246337320 4773851800 5307921650 10615843300 21231686600 65712070027 131424140054 262848280108 328560350135 525696560216 657120700270 1314241400540 1642801750675 2628482801080 3285603501350 6571207002700 13142414005400