Search a number
-
+
145431311355 = 335111941125717
BaseRepresentation
bin1000011101110001100…
…0011011001111111011
3111220101100200002021000
42013130120123033323
54340320403430410
6150451001420043
713335631515201
oct2073430331773
9456340602230
10145431311355
115674a202810
122422879a623
1310938ba5cb5
147078ac5071
153bb2973dc0
hex21dc61b3fb

145431311355 has 128 divisors (see below), whose sum is σ = 304136985600. Its totient is φ = 65171174400.

The previous prime is 145431311351. The next prime is 145431311369. The reversal of 145431311355 is 553113134541.

145431311355 is a `hidden beast` number, since 145 + 431 + 31 + 1 + 3 + 55 = 666.

It is not a de Polignac number, because 145431311355 - 22 = 145431311351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145431311351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1093957 + ... + 1219673.

It is an arithmetic number, because the mean of its divisors is an integer number (2376070200).

Almost surely, 2145431311355 is an apocalyptic number.

145431311355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145431311355 is an abundant number, since it is smaller than the sum of its proper divisors (158705674245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145431311355 is a wasteful number, since it uses less digits than its factorization.

145431311355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125802 (or 125796 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 145431311355 its reverse (553113134541), we get a palindrome (698544445896).

The spelling of 145431311355 in words is "one hundred forty-five billion, four hundred thirty-one million, three hundred eleven thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 19 27 33 41 45 55 57 95 99 123 135 165 171 205 209 285 297 369 451 495 513 615 627 779 855 1045 1107 1353 1485 1845 1881 2255 2337 2565 3135 3895 4059 5535 5643 6765 7011 8569 9405 11685 12177 20295 21033 25707 28215 35055 42845 60885 77121 105165 125717 128535 231363 377151 385605 628585 1131453 1156815 1382887 1885755 2388623 3394359 4148661 5154397 5657265 6914435 7165869 11943115 12445983 15463191 16971795 20743305 21497607 25771985 26274853 35829345 37337949 46389573 56698367 62229915 64492821 77315955 78824559 97933543 107488035 131374265 139168719 170095101 186689745 231947865 236473677 283491835 293800629 322464105 394122795 489667715 510285303 695843595 709421031 850475505 881401887 1077268973 1182368385 1469003145 1530855909 2551426515 2644205661 3231806919 3547105155 4407009435 5386344865 7654279545 9695420757 13221028305 16159034595 29086262271 48477103785 145431311355