Search a number
-
+
30555413344 = 2541431134793
BaseRepresentation
bin11100011101001111…
…101001101101100000
32220212110101211020201
4130131033221231200
51000034141211334
622011552314544
72131122504511
oct343517515540
986773354221
1030555413344
1111a5a809325
125b08b42a54
132b5c47c551
14169c106a08
15bdc78ac14
hex71d3e9b60

30555413344 has 96 divisors (see below), whose sum is σ = 63627578784. Its totient is φ = 14426603520.

The previous prime is 30555413341. The next prime is 30555413351. The reversal of 30555413344 is 44331455503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30555413341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6372612 + ... + 6377404.

It is an arithmetic number, because the mean of its divisors is an integer number (662787279).

Almost surely, 230555413344 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 30555413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813789392).

30555413344 is an abundant number, since it is smaller than the sum of its proper divisors (33072165440).

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

30555413344 is a wasteful number, since it uses less digits than its factorization.

30555413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 30555413344 its reverse (44331455503), we get a palindrome (74886868847).

The spelling of 30555413344 in words is "thirty billion, five hundred fifty-five million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 43 82 86 113 164 172 226 328 344 452 656 688 904 1312 1376 1763 1808 3526 3616 4633 4793 4859 7052 9266 9586 9718 14104 18532 19172 19436 28208 37064 38344 38872 56416 74128 76688 77744 148256 153376 155488 196513 199219 206099 393026 398438 412198 541609 786052 796876 824396 1083218 1572104 1593752 1648792 2166436 3144208 3187504 3297584 4332872 6288416 6375008 6595168 8450059 8665744 16900118 17331488 22205969 23289187 33800236 44411938 46578374 67600472 88823876 93156748 135200944 177647752 186313496 270401888 355295504 372626992 710591008 745253984 954856667 1909713334 3819426668 7638853336 15277706672 30555413344