Search a number
-
+
145013412404 = 2273353299419
BaseRepresentation
bin1000011100001101111…
…0010001001000110100
3111212022020022121200002
42013003132101020310
54333441413144104
6150341312410432
713322365445000
oct2070336211064
9455266277602
10145013412404
1156555322083
1224130846a18
13108a0438703
1470393c1700
153b8ae2701e
hex21c3791234

145013412404 has 48 divisors (see below), whose sum is σ = 296785104000. Its totient is φ = 61972339968.

The previous prime is 145013412367. The next prime is 145013412409. The reversal of 145013412404 is 404214310541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145013412409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334607 + ... + 634025.

It is an arithmetic number, because the mean of its divisors is an integer number (6183023000).

Almost surely, 2145013412404 is an apocalyptic number.

145013412404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145013412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148392552000).

145013412404 is an abundant number, since it is smaller than the sum of its proper divisors (151771691596).

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

145013412404 is a wasteful number, since it uses less digits than its factorization.

145013412404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299797 (or 299781 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 145013412404 its reverse (404214310541), we get a palindrome (549227722945).

The spelling of 145013412404 in words is "one hundred forty-five billion, thirteen million, four hundred twelve thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 343 353 686 706 1372 1412 2471 4942 9884 17297 34594 69188 121079 242158 299419 484316 598838 1197676 2095933 4191866 8383732 14671531 29343062 58686124 102700717 105694907 205401434 211389814 410802868 422779628 739864349 1479728698 2959457396 5179050443 10358100886 20716201772 36253353101 72506706202 145013412404