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1345414151403 = 327983201710771
BaseRepresentation
bin10011100101000000111…
…011101011110011101011
311202121202020002101012200
4103211000323223303223
5134020402010321103
62510024050311243
7166126421411220
oct23450073536353
94677666071180
101345414151403
11479650239323
12198900588523
1399b44a6318a
1449192c23947
1524ee5dc00a3
hex13940eebceb

1345414151403 has 48 divisors (see below), whose sum is σ = 2224569325056. Its totient is φ = 767573936640.

The previous prime is 1345414151381. The next prime is 1345414151437. The reversal of 1345414151403 is 3041514145431.

1345414151403 is a `hidden beast` number, since 1 + 3 + 454 + 14 + 151 + 40 + 3 = 666.

It is not a de Polignac number, because 1345414151403 - 29 = 1345414150891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1345414151503) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 124905408 + ... + 124916178.

It is an arithmetic number, because the mean of its divisors is an integer number (46345194272).

Almost surely, 21345414151403 is an apocalyptic number.

1345414151403 is a deficient number, since it is larger than the sum of its proper divisors (879155173653).

1345414151403 is a wasteful number, since it uses less digits than its factorization.

1345414151403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1345414151403 its reverse (3041514145431), we get a palindrome (4386928296834).

The spelling of 1345414151403 in words is "one trillion, three hundred forty-five billion, four hundred fourteen million, one hundred fifty-one thousand, four hundred three".

Divisors: 1 3 7 9 21 63 983 2017 2949 6051 6881 8847 10771 14119 18153 20643 32313 42357 61929 75397 96939 127071 226191 678573 1982711 5948133 10587893 13878977 17844399 21725107 31763679 41636931 65175321 74115251 95291037 124910793 152075749 195525963 222345753 456227247 667037259 1368681741 21355780181 64067340543 149490461267 192202021629 448471383801 1345414151403