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30140032410 = 23253167161237
BaseRepresentation
bin11100000100011111…
…000110010110011010
32212210111210021201200
4130010133012112122
5443211322014120
621502433255030
72114620022415
oct340437062632
985714707650
1030140032410
11118672984a4
125a11a04476
132ac43b4107
14165cc9ab7c
15bb6089e90
hex7047c659a

30140032410 has 96 divisors (see below), whose sum is σ = 82099809792. Its totient is φ = 7661934720.

The previous prime is 30140032387. The next prime is 30140032423. The reversal of 30140032410 is 1423004103.

30140032410 is a `hidden beast` number, since 301 + 40 + 0 + 324 + 1 + 0 = 666.

It is a super-3 number, since 3×301400324103 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106312 + ... + 267548.

It is an arithmetic number, because the mean of its divisors is an integer number (855206352).

Almost surely, 230140032410 is an apocalyptic number.

30140032410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30140032410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41049904896).

30140032410 is an abundant number, since it is smaller than the sum of its proper divisors (51959777382).

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

30140032410 is a wasteful number, since it uses less digits than its factorization.

30140032410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161348 (or 161345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30140032410 its reverse (1423004103), we get a palindrome (31563036513).

The spelling of 30140032410 in words is "thirty billion, one hundred forty million, thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 67 90 93 134 155 186 201 279 310 335 402 465 558 603 670 930 1005 1206 1395 2010 2077 2790 3015 4154 6030 6231 10385 12462 18693 20770 31155 37386 62310 93465 161237 186930 322474 483711 806185 967422 1451133 1612370 2418555 2902266 4837110 4998347 7255665 9996694 10802879 14511330 14995041 21605758 24991735 29990082 32408637 44985123 49983470 54014395 64817274 74975205 89970246 97225911 108028790 149950410 162043185 194451822 224925615 324086370 334889249 449851230 486129555 669778498 972259110 1004667747 1674446245 2009335494 3014003241 3348892490 5023338735 6028006482 10046677470 15070016205 30140032410