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241440105040 = 24517533349613
BaseRepresentation
bin1110000011011011110…
…0111010001001010000
3212002012101011010201121
43200312330322021100
512423432131330130
6302525511212024
723305053013531
oct3406674721120
9762171133647
10241440105040
11934377104a2
123a961977014
13199c98527a4
14b985a40688
1564315c3d7a
hex3836f3a250

241440105040 has 80 divisors (see below), whose sum is σ = 605583414288. Its totient is φ = 89180069888.

The previous prime is 241440105029. The next prime is 241440105059. The reversal of 241440105040 is 40501044142.

It can be written as a sum of positive squares in 8 ways, for example, as 53316657216 + 188123447824 = 230904^2 + 433732^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 241440104996 and 241440105014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602727 + ... + 1746886.

Almost surely, 2241440105040 is an apocalyptic number.

241440105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241440105040 is an abundant number, since it is smaller than the sum of its proper divisors (364143309248).

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

241440105040 is a wasteful number, since it uses less digits than its factorization.

241440105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349696 (or 3349690 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 241440105040 its reverse (40501044142), we get a palindrome (281941149182).

The spelling of 241440105040 in words is "two hundred forty-one billion, four hundred forty million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 680 848 901 1060 1360 1802 2120 3604 4240 4505 7208 9010 14416 18020 36040 72080 3349613 6699226 13398452 16748065 26796904 33496130 53593808 56943421 66992260 113886842 133984520 177529489 227773684 267969040 284717105 355058978 455547368 569434210 710117956 887647445 911094736 1138868420 1420235912 1775294890 2277736840 2840471824 3018001313 3550589780 4555473680 6036002626 7101179560 12072005252 14202359120 15090006565 24144010504 30180013130 48288021008 60360026260 120720052520 241440105040