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30031432314 = 231317101224239
BaseRepresentation
bin11011111110000000…
…110100101001111010
32212111221102211101220
4123332000310221322
5443001021313224
621443553452510
72112130651152
oct337600645172
985457384356
1030031432314
1111810a62654
1259a1571136
132aa7a4bcc0
14164c6ab762
15bab787279
hex6fe034a7a

30031432314 has 64 divisors (see below), whose sum is σ = 69166379520. Its totient is φ = 8610739200.

The previous prime is 30031432309. The next prime is 30031432337. The reversal of 30031432314 is 41323413003.

30031432314 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21807 + ... + 246045.

It is an arithmetic number, because the mean of its divisors is an integer number (1080724680).

Almost surely, 230031432314 is an apocalyptic number.

30031432314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031432314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34583189760).

30031432314 is an abundant number, since it is smaller than the sum of its proper divisors (39134947206).

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

30031432314 is a wasteful number, since it uses less digits than its factorization.

30031432314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224375.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30031432314 its reverse (41323413003), we get a palindrome (71354845317).

The spelling of 30031432314 in words is "thirty billion, thirty-one million, four hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 202 221 303 442 606 663 1313 1326 1717 2626 3434 3939 5151 7878 10302 22321 44642 66963 133926 224239 448478 672717 1345434 2915107 3812063 5830214 7624126 8745321 11436189 17490642 22648139 22872378 45296278 49556819 67944417 99113638 135888834 148670457 294425807 297340914 385018363 588851614 770036726 883277421 1155055089 1766554842 2310110178 5005238719 10010477438 15015716157 30031432314