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1145430345411 = 32112313747109179
BaseRepresentation
bin10000101010110000111…
…110000000011011000011
311001111120000021102201100
4100222300332000123003
5122231320132023121
62234111535305443
7145516555202112
oct20526076003303
94044500242640
101145430345411
11401857628a00
12165baa37b283
1384023bc3c71
143d620d59c79
151ebde099026
hex10ab0f806c3

1145430345411 has 288 divisors, whose sum is σ = 1998181785600. Its totient is φ = 630331891200.

The previous prime is 1145430345401. The next prime is 1145430345427.

1145430345411 is a `hidden beast` number, since 1 + 1 + 4 + 54 + 30 + 34 + 541 + 1 = 666.

1145430345411 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1145430345411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1145430345401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6399052120 + ... + 6399052298.

It is an arithmetic number, because the mean of its divisors is an integer number (6938131200).

Almost surely, 21145430345411 is an apocalyptic number.

1145430345411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1145430345411 is a deficient number, since it is larger than the sum of its proper divisors (852751440189).

1145430345411 is a wasteful number, since it uses less digits than its factorization.

1145430345411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

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

It can be divided in two parts, 1145430 and 345411, that added together give a square (1490841 = 12212).

The spelling of 1145430345411 in words is "one trillion, one hundred forty-five billion, four hundred thirty million, three hundred forty-five thousand, four hundred eleven".