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241241001140 = 225231373828007
BaseRepresentation
bin1110000010101100010…
…1011000110010110100
3212001200111111121112002
43200223011120302310
512423030144014030
6302454035514432
723300114450636
oct3405305306264
9761614447462
10241241001140
119334528a817
123a907158a18
1319997520329
14b967412a56
15641dd95245
hex382b158cb4

241241001140 has 48 divisors (see below), whose sum is σ = 532491224832. Its totient is φ = 91627151616.

The previous prime is 241241001121. The next prime is 241241001203. The reversal of 241241001140 is 41100142142.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1850984 + ... + 1977023.

It is an arithmetic number, because the mean of its divisors is an integer number (11093567184).

Almost surely, 2241241001140 is an apocalyptic number.

241241001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241241001140 is an abundant number, since it is smaller than the sum of its proper divisors (291250223692).

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

241241001140 is a wasteful number, since it uses less digits than its factorization.

241241001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828176 (or 3828174 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 241241001140 its reverse (41100142142), we get a palindrome (282341143282).

The spelling of 241241001140 in words is "two hundred forty-one billion, two hundred forty-one million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 548 685 1370 2740 3151 6302 12604 15755 31510 63020 3828007 7656014 15312028 19140035 38280070 76560140 88044161 176088322 352176644 440220805 524436959 880441610 1048873918 1760883220 2097747836 2622184795 5244369590 10488739180 12062050057 24124100114 48248200228 60310250285 120620500570 241241001140