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145405661413 is a prime number
BaseRepresentation
bin1000011101101011011…
…0100101000011100101
3111220022120101221011011
42013122312211003211
54340242322131123
6150444243542221
713335200505055
oct2073266450345
9456276357134
10145405661413
1156736783611
122422008a971
131093379500c
147075529565
153bb05a8e0d
hex21dada50e5

145405661413 has 2 divisors, whose sum is σ = 145405661414. Its totient is φ = 145405661412.

The previous prime is 145405661407. The next prime is 145405661501. The reversal of 145405661413 is 314166504541.

145405661413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108594634369 + 36811027044 = 329537^2 + 191862^2 .

It is a cyclic number.

It is not a de Polignac number, because 145405661413 - 225 = 145372106981 is a prime.

It is a super-2 number, since 2×1454056614132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145405061413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72702830706 + 72702830707.

It is an arithmetic number, because the mean of its divisors is an integer number (72702830707).

Almost surely, 2145405661413 is an apocalyptic number.

It is an amenable number.

145405661413 is a deficient number, since it is larger than the sum of its proper divisors (1).

145405661413 is an equidigital number, since it uses as much as digits as its factorization.

145405661413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 145405661413 in words is "one hundred forty-five billion, four hundred five million, six hundred sixty-one thousand, four hundred thirteen".