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30233024440 = 23541153112041
BaseRepresentation
bin11100001010000001…
…110101011110111000
32220000222202202210221
4130022001311132320
5443404123240230
621515554345424
72120126316253
oct341201653670
986028682727
1030233024440
1111904832813
125a38b8b274
132b0a742b98
14166b38609a
15bbe30827a
hex70a0757b8

30233024440 has 64 divisors (see below), whose sum is σ = 69734740320. Its totient is φ = 11789568000.

The previous prime is 30233024431. The next prime is 30233024461. The reversal of 30233024440 is 4442033203.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2504820 + ... + 2516860.

Almost surely, 230233024440 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 30233024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34867370160).

30233024440 is an abundant number, since it is smaller than the sum of its proper divisors (39501715880).

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

30233024440 is a wasteful number, since it uses less digits than its factorization.

30233024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 30233024440 its reverse (4442033203), we get a palindrome (34675057643).

The spelling of 30233024440 in words is "thirty billion, two hundred thirty-three million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1531 1640 3062 6124 7655 12041 12248 15310 24082 30620 48164 60205 61240 62771 96328 120410 125542 240820 251084 313855 481640 493681 502168 627710 987362 1255420 1974724 2468405 2510840 3949448 4936810 9873620 18434771 19747240 36869542 73739084 92173855 147478168 184347710 368695420 737390840 755825611 1511651222 3023302444 3779128055 6046604888 7558256110 15116512220 30233024440