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241205031400 = 235211310672789
BaseRepresentation
bin1110000010100011110…
…0001011000111101000
3212001120222211011022111
43200220330023013220
512422441442001100
6302450312532104
723266166636614
oct3405074130750
9761528734274
10241205031400
1193326a52163
123a8b70b1034
131998cc38068
14b96272c344
15641ab3c6ba
hex3828f0b1e8

241205031400 has 48 divisors (see below), whose sum is σ = 565764597900. Its totient is φ = 95628180480.

The previous prime is 241205031383. The next prime is 241205031401. The reversal of 241205031400 is 4130502142.

It can be written as a sum of positive squares in 6 ways, for example, as 23121635364 + 218083396036 = 152058^2 + 466994^2 .

It is not an unprimeable number, because it can be changed into a prime (241205031401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5313795 + ... + 5358994.

Almost surely, 2241205031400 is an apocalyptic number.

241205031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241205031400 is an abundant number, since it is smaller than the sum of its proper divisors (324559566500).

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

241205031400 is a wasteful number, since it uses less digits than its factorization.

241205031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672918 (or 10672909 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 241205031400 its reverse (4130502142), we get a palindrome (245335533542).

The spelling of 241205031400 in words is "two hundred forty-one billion, two hundred five million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 10672789 21345578 42691156 53363945 85382312 106727890 213455780 266819725 426911560 533639450 1067278900 1206025157 2134557800 2412050314 4824100628 6030125785 9648201256 12060251570 24120503140 30150628925 48241006280 60301257850 120602515700 241205031400