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241451340240 = 24351191458841
BaseRepresentation
bin1110000011011110011…
…1110001000111010000
3212002020011021221112010
43200313213301013100
512423443020341430
6302530552102520
723305250346315
oct3406747610720
9762204257463
10241451340240
1193442a94690
123a965694a40
13199cbc87636
14b987326d0c
156432592cb0
hex38379f11d0

241451340240 has 80 divisors (see below), whose sum is σ = 816544541376. Its totient is φ = 58533657600.

The previous prime is 241451340209. The next prime is 241451340269. The reversal of 241451340240 is 42043154142.

241451340240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241451340198 and 241451340207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45726781 + ... + 45732060.

Almost surely, 2241451340240 is an apocalyptic number.

241451340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241451340240 is an abundant number, since it is smaller than the sum of its proper divisors (575093201136).

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

241451340240 is a wasteful number, since it uses less digits than its factorization.

241451340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91458868 (or 91458862 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 241451340240 its reverse (42043154142), we get a palindrome (283494494382).

The spelling of 241451340240 in words is "two hundred forty-one billion, four hundred fifty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 91458841 182917682 274376523 365835364 457294205 548753046 731670728 914588410 1006047251 1097506092 1371882615 1463341456 1829176820 2012094502 2195012184 2743765230 3018141753 3658353640 4024189004 4390024368 5030236255 5487530460 6036283506 7316707280 8048378008 10060472510 10975060920 12072567012 15090708765 16096756016 20120945020 21950121840 24145134024 30181417530 40241890040 48290268048 60362835060 80483780080 120725670120 241451340240