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30444324032 = 266735320113
BaseRepresentation
bin11100010110100111…
…111000010011000000
32220120201100220100202
4130112213320103000
5444322221332112
621552543304332
72125303325123
oct342647702300
986521326322
1030444324032
1111a03033281
125a978ab0a8
132b42455425
14168b46a3ba
15bd2b456c2
hex7169f84c0

30444324032 has 56 divisors (see below), whose sum is σ = 61491394416. Its totient is φ = 14951743488.

The previous prime is 30444323993. The next prime is 30444324037. The reversal of 30444324032 is 23042344403.

It is a junction number, because it is equal to n+sod(n) for n = 30444323986 and 30444324004.

It is not an unprimeable number, because it can be changed into a prime (30444324037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503608 + ... + 1523720.

Almost surely, 230444324032 is an apocalyptic number.

30444324032 is a gapful number since it is divisible by the number (32) 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 30444324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30745697208).

30444324032 is an abundant number, since it is smaller than the sum of its proper divisors (31047070384).

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

30444324032 is a wasteful number, since it uses less digits than its factorization.

30444324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20545 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 30444324032 its reverse (23042344403), we get a palindrome (53486668435).

The spelling of 30444324032 in words is "thirty billion, four hundred forty-four million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 134 268 353 536 706 1072 1412 2144 2824 4288 5648 11296 20113 22592 23651 40226 47302 80452 94604 160904 189208 321808 378416 643616 756832 1287232 1347571 1513664 2695142 5390284 7099889 10780568 14199778 21561136 28399556 43122272 56799112 86244544 113598224 227196448 454392896 475692563 951385126 1902770252 3805540504 7611081008 15222162016 30444324032