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30144213340 = 225171073072699
BaseRepresentation
bin11100000100101111…
…000011000101011100
32212210210122200212221
4130010233003011130
5443213404311330
621503103035124
72115000404623
oct340457030534
985723580787
1030144213340
111186969370a
125a1329baa4
132ac5219137
14165d6686ba
15bb6613b7a
hex704bc315c

30144213340 has 96 divisors (see below), whose sum is σ = 67898476800. Its totient is φ = 11201577984.

The previous prime is 30144213311. The next prime is 30144213343. The reversal of 30144213340 is 4331244103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144213343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11167311 + ... + 11170009.

It is an arithmetic number, because the mean of its divisors is an integer number (707275800).

Almost surely, 230144213340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33949238400).

30144213340 is an abundant number, since it is smaller than the sum of its proper divisors (37754263460).

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

30144213340 is a wasteful number, since it uses less digits than its factorization.

30144213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 30144213340 its reverse (4331244103), we get a palindrome (34475457443).

The spelling of 30144213340 in words is "thirty billion, one hundred forty-four million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 307 340 428 535 614 1070 1228 1535 1819 2140 2699 3070 3638 5219 5398 6140 7276 9095 10438 10796 13495 18190 20876 26095 26990 32849 36380 45883 52190 53980 65698 91766 104380 131396 164245 183532 229415 288793 328490 458830 558433 577586 656980 828593 917660 1116866 1155172 1443965 1657186 2233732 2792165 2887930 3314372 4142965 4909481 5584330 5775860 8285930 9818962 11168660 14086081 16571860 19637924 24547405 28172162 49094810 56344324 70430405 88659451 98189620 140860810 177318902 281721620 354637804 443297255 886594510 1507210667 1773189020 3014421334 6028842668 7536053335 15072106670 30144213340