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2441012040 = 2332522433023
BaseRepresentation
bin1001000101111110…
…1110001101001000
320022010012021000100
42101133232031020
514444344341130
61042115205400
7114330155115
oct22137561510
96263167010
102441012040
111042984525
125815a6860
132cb94802c
1419229790c
15e4477c60
hex917ee348

2441012040 has 96 divisors (see below), whose sum is σ = 7939451520. Its totient is φ = 650431104.

The previous prime is 2441012027. The next prime is 2441012047. The reversal of 2441012040 is 402101442.

2441012040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2441012047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805969 + ... + 808991.

It is an arithmetic number, because the mean of its divisors is an integer number (82702620).

Almost surely, 22441012040 is an apocalyptic number.

2441012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441012040 is an abundant number, since it is smaller than the sum of its proper divisors (5498439480).

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

2441012040 is a wasteful number, since it uses less digits than its factorization.

2441012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2441012040 is about 49406.5991543640. The cubic root of 2441012040 is about 1346.4492037945.

Adding to 2441012040 its reverse (402101442), we get a palindrome (2843113482).

The spelling of 2441012040 in words is "two billion, four hundred forty-one million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2243 3023 4486 6046 6729 8972 9069 11215 12092 13458 15115 17944 18138 20187 22430 24184 26916 27207 30230 33645 36276 40374 44860 45345 53832 54414 60460 67290 72552 80748 89720 90690 100935 108828 120920 134580 136035 161496 181380 201870 217656 269160 272070 362760 403740 544140 807480 1088280 6780589 13561178 20341767 27122356 33902945 40683534 54244712 61025301 67805890 81367068 101708835 122050602 135611780 162734136 203417670 244101204 271223560 305126505 406835340 488202408 610253010 813670680 1220506020 2441012040