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241144102240 = 2551554196979
BaseRepresentation
bin1110000010010101001…
…1101111110101100000
3212001102202011122012221
43200211103233311200
512422330342232430
6302440255000424
723264530022566
oct3404523576540
9761382148187
10241144102240
11932a5617188
123a89a809114
13199804241c2
14b9585cba36
15641560457a
hex38254efd60

241144102240 has 48 divisors (see below), whose sum is σ = 569745474480. Its totient is φ = 96450439680.

The previous prime is 241144102181. The next prime is 241144102249. The reversal of 241144102240 is 42201441142.

It is a happy number.

241144102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241144102249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2438071 + ... + 2535049.

It is an arithmetic number, because the mean of its divisors is an integer number (11869697385).

Almost surely, 2241144102240 is an apocalyptic number.

241144102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241144102240 is an abundant number, since it is smaller than the sum of its proper divisors (328601372240).

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

241144102240 is a wasteful number, since it uses less digits than its factorization.

241144102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112535 (or 112527 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 241144102240 its reverse (42201441142), we get a palindrome (283345543382).

The spelling of 241144102240 in words is "two hundred forty-one billion, one hundred forty-four million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 15541 31082 62164 77705 96979 124328 155410 193958 248656 310820 387916 484895 497312 621640 775832 969790 1243280 1551664 1939580 2486560 3103328 3879160 7758320 15516640 1507150639 3014301278 6028602556 7535753195 12057205112 15071506390 24114410224 30143012780 48228820448 60286025560 120572051120 241144102240