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145141353 = 3274183677
BaseRepresentation
bin10001010011010…
…10111001101001
3101010002221111200
420221222321221
5244124010403
622222514413
73411452430
oct1051527151
9333087450
10145141353
1174a23935
1240735a09
13240ba576
14153c2117
15cb1eca3
hex8a6ae69

145141353 has 48 divisors (see below), whose sum is σ = 248766336. Its totient is φ = 79822080.

The previous prime is 145141333. The next prime is 145141379. The reversal of 145141353 is 353141541.

It is a happy number.

145141353 is a `hidden beast` number, since 14 + 514 + 135 + 3 = 666.

145141353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145141353 - 210 = 145140329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145141313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214051 + ... + 214727.

It is an arithmetic number, because the mean of its divisors is an integer number (5182632).

Almost surely, 2145141353 is an apocalyptic number.

It is an amenable number.

145141353 is a deficient number, since it is larger than the sum of its proper divisors (103624983).

145141353 is a wasteful number, since it uses less digits than its factorization.

145141353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 811 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 145141353 is about 12047.4625129112. The cubic root of 145141353 is about 525.5294468415.

Adding to 145141353 its reverse (353141541), we get a palindrome (498282894).

The spelling of 145141353 in words is "one hundred forty-five million, one hundred forty-one thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 41 63 83 123 249 287 369 581 677 747 861 1743 2031 2583 3403 4739 5229 6093 10209 14217 23821 27757 30627 42651 56191 71463 83271 168573 194299 214389 249813 393337 505719 582897 1180011 1748691 2303831 3540033 6911493 16126817 20734479 48380451 145141353