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30040101344 = 2511432837013
BaseRepresentation
bin11011111110100001…
…111001000111100000
32212112112202021002002
4123332201321013200
5443010231220334
621444503343132
72112264435251
oct337641710740
985475667062
1030040101344
1111815943840
1259a4451aa8
132aa9795ac6
14164d8c6b28
15bac3eab7e
hex6fe8791e0

30040101344 has 96 divisors (see below), whose sum is σ = 66261089664. Its totient is φ = 13288020480.

The previous prime is 30040101319. The next prime is 30040101367. The reversal of 30040101344 is 44310104003.

It is a happy number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4279982 + ... + 4286994.

It is an arithmetic number, because the mean of its divisors is an integer number (690219684).

Almost surely, 230040101344 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 30040101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33130544832).

30040101344 is an abundant number, since it is smaller than the sum of its proper divisors (36220988320).

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

30040101344 is a wasteful number, since it uses less digits than its factorization.

30040101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30040101344 its reverse (44310104003), we get a palindrome (74350205347).

The spelling of 30040101344 in words is "thirty billion, forty million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 283 344 352 473 566 688 946 1132 1376 1892 2264 3113 3784 4528 6226 7013 7568 9056 12169 12452 14026 15136 24338 24904 28052 48676 49808 56104 77143 97352 99616 112208 133859 154286 194704 224416 267718 301559 308572 389408 535436 603118 617144 1070872 1206236 1234288 1984679 2141744 2412472 2468576 3317149 3969358 4283488 4824944 6634298 7938716 9649888 13268596 15877432 21831469 26537192 31754864 43662938 53074384 63509728 85341197 87325876 106148768 170682394 174651752 341364788 349303504 682729576 698607008 938753167 1365459152 1877506334 2730918304 3755012668 7510025336 15020050672 30040101344