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145465105401 = 327111911047703
BaseRepresentation
bin1000011101111001100…
…1010101101111111001
3111220110201020222222100
42013132121111233321
54340403031333101
6150454210014013
713336521665130
oct2073631255771
9456421228870
10145465105401
1156767294780
1224237b77309
1310942ba8b85
14707d3a0917
153bb58ebe86
hex21de655bf9

145465105401 has 48 divisors (see below), whose sum is σ = 275750691840. Its totient is φ = 71589108960.

The previous prime is 145465105369. The next prime is 145465105403. The reversal of 145465105401 is 104501564541.

145465105401 is a `hidden beast` number, since 1 + 4 + 54 + 65 + 1 + 0 + 540 + 1 = 666.

It is not a de Polignac number, because 145465105401 - 25 = 145465105369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145465105403) 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, 5510685 + ... + 5537018.

It is an arithmetic number, because the mean of its divisors is an integer number (5744806080).

Almost surely, 2145465105401 is an apocalyptic number.

145465105401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145465105401 is a deficient number, since it is larger than the sum of its proper divisors (130285586439).

145465105401 is a wasteful number, since it uses less digits than its factorization.

145465105401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047746 (or 11047743 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 145465105401 its reverse (104501564541), we get a palindrome (249966669942).

The spelling of 145465105401 in words is "one hundred forty-five billion, four hundred sixty-five million, one hundred five thousand, four hundred one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 13167 11047703 33143109 77333921 99429327 121524733 209906357 232001763 364574199 629719071 696005289 850673131 1093722597 1469344499 1889157213 2308969927 2552019393 4408033497 6926909781 7656058179 13224100491 16162789489 20780729343 48488368467 145465105401