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30241241400 = 23352257196117
BaseRepresentation
bin11100001010100001…
…001011100100111000
32220001120020020100210
4130022201023210320
5443413224211100
621520450431120
72120256211356
oct341241134470
986046206323
1030241241400
1111909435297
125a3b8924a0
132b0c35bca6
14166c4c47d6
15bbedccc50
hex70a84b938

30241241400 has 96 divisors (see below), whose sum is σ = 94113105840. Its totient is φ = 8032911360.

The previous prime is 30241241357. The next prime is 30241241411. The reversal of 30241241400 is 414214203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56142 + ... + 252258.

Almost surely, 230241241400 is an apocalyptic number.

30241241400 is a gapful number since it is divisible by the number (30) 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 30241241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056552920).

30241241400 is an abundant number, since it is smaller than the sum of its proper divisors (63871864440).

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

30241241400 is a wasteful number, since it uses less digits than its factorization.

30241241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196393 (or 196384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30241241400 its reverse (414214203), we get a palindrome (30655455603).

The spelling of 30241241400 in words is "thirty billion, two hundred forty-one million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 257 300 514 600 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 6425 7710 10280 12850 15420 19275 25700 30840 38550 51400 77100 154200 196117 392234 588351 784468 980585 1176702 1568936 1961170 2353404 2941755 3922340 4706808 4902925 5883510 7844680 9805850 11767020 14708775 19611700 23534040 29417550 39223400 50402069 58835100 100804138 117670200 151206207 201608276 252010345 302412414 403216552 504020690 604824828 756031035 1008041380 1209649656 1260051725 1512062070 2016082760 2520103450 3024124140 3780155175 5040206900 6048248280 7560310350 10080413800 15120620700 30241241400