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145641441 = 311193159127
BaseRepresentation
bin10001010111001…
…00111111100001
3101011001100111110
420223210333201
5244241011231
622241333533
73415634421
oct1053447741
9334040443
10145641441
1175235630
12409372a9
132423408a
14154b2481
15cbbd046
hex8ae4fe1

145641441 has 64 divisors (see below), whose sum is σ = 235929600. Its totient is φ = 78926400.

The previous prime is 145641437. The next prime is 145641443. The reversal of 145641441 is 144146541.

It is not a de Polignac number, because 145641441 - 22 = 145641437 is a prime.

It is a super-2 number, since 2×1456414412 = 42422858673112962, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145641399 and 145641408.

It is not an unprimeable number, because it can be changed into a prime (145641443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146720 + ... + 1146846.

It is an arithmetic number, because the mean of its divisors is an integer number (3686400).

Almost surely, 2145641441 is an apocalyptic number.

145641441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145641441 is a deficient number, since it is larger than the sum of its proper divisors (90288159).

145641441 is a wasteful number, since it uses less digits than its factorization.

145641441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its digits is 7680, while the sum is 30.

The square root of 145641441 is about 12068.1995757445. The cubic root of 145641441 is about 526.1323297107.

Adding to 145641441 its reverse (144146541), we get a palindrome (289787982).

The spelling of 145641441 in words is "one hundred forty-five million, six hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 11 19 31 33 57 59 93 127 177 209 341 381 589 627 649 1023 1121 1397 1767 1829 1947 2413 3363 3937 4191 5487 6479 7239 7493 11811 12331 19437 20119 22479 26543 34751 36993 43307 60357 74803 79629 82423 104253 129921 142367 224409 232283 247269 382261 427101 696849 822833 1146783 1566037 2468499 2555113 4413377 4698111 7665339 13240131 48547147 145641441