Search a number
-
+
145344645630 = 23255929999127
BaseRepresentation
bin1000011101011100110…
…1110100100111111110
3111220011022121000020100
42013113031310213332
54340131212130010
6150434224101530
713333530050352
oct2072715644776
9456138530210
10145344645630
1156705299548
12242037648a6
1310923c508c2
14706b3a5462
153baa0552c0
hex21d73749fe

145344645630 has 96 divisors (see below), whose sum is σ = 384471360000. Its totient is φ = 38084769216.

The previous prime is 145344645581. The next prime is 145344645631. The reversal of 145344645630 is 36546443541.

145344645630 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 4 + 6 + 4 + 5 + 630 = 666.

It is a super-2 number, since 2×1453446456302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145344645631) 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, 15920127 + ... + 15929253.

It is an arithmetic number, because the mean of its divisors is an integer number (4004910000).

Almost surely, 2145344645630 is an apocalyptic number.

145344645630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145344645630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192235680000).

145344645630 is an abundant number, since it is smaller than the sum of its proper divisors (239126714370).

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

145344645630 is a wasteful number, since it uses less digits than its factorization.

145344645630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 145344645630 in words is "one hundred forty-five billion, three hundred forty-four million, six hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 2999 5310 5998 8997 9127 14995 17994 18254 26991 27381 29990 44985 45635 53982 54762 82143 89970 91270 134955 136905 164286 176941 269910 273810 353882 410715 530823 538493 821430 884705 1061646 1076986 1592469 1615479 1769410 2654115 2692465 3184938 3230958 4846437 5308230 5384930 7962345 8077395 9692874 15924690 16154790 24232185 27371873 48464370 54743746 82115619 136859365 164231238 246346857 273718730 410578095 492693714 821156190 1231734285 1614940507 2463468570 3229881014 4844821521 8074702535 9689643042 14534464563 16149405070 24224107605 29068929126 48448215210 72672322815 145344645630