Search a number
-
+
146324475531 = 32132367262133
BaseRepresentation
bin1000100001000110011…
…1100100111010001011
3111222200121022112011200
42020101213210322023
54344133031204111
6151115345155243
713400025343323
oct2102147447213
9458617275150
10146324475531
1157068396223
122443792bb23
1310a4bc48100
147121582283
153c160a0256
hex22119e4e8b

146324475531 has 36 divisors (see below), whose sum is σ = 229490977248. Its totient is φ = 89800132032.

The previous prime is 146324475523. The next prime is 146324475593. The reversal of 146324475531 is 135574423641.

146324475531 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 2 + 44 + 75 + 531 = 666.

It is not a de Polignac number, because 146324475531 - 23 = 146324475523 is a prime.

It is a super-2 number, since 2×1463244755312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146324475431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427141 + ... + 689273.

It is an arithmetic number, because the mean of its divisors is an integer number (6374749368).

Almost surely, 2146324475531 is an apocalyptic number.

146324475531 is a deficient number, since it is larger than the sum of its proper divisors (83166501717).

146324475531 is a wasteful number, since it uses less digits than its factorization.

146324475531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262532 (or 262516 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 146324475531 in words is "one hundred forty-six billion, three hundred twenty-four million, four hundred seventy-five thousand, five hundred thirty-one".

Divisors: 1 3 9 13 39 117 169 367 507 1101 1521 3303 4771 14313 42939 62023 186069 262133 558207 786399 2359197 3407729 10223187 30669561 44300477 96202811 132901431 288608433 398704293 865825299 1250636543 3751909629 11255728887 16258275059 48774825177 146324475531