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1005544441240 = 235109379608521
BaseRepresentation
bin11101010000111110001…
…11101000010110011000
310120010111010021020000121
432220133013220112120
5112433323334104430
62045535111043024
7132435220503523
oct16503707502630
93503433236017
101005544441240
113584a3693739
12142a6a970474
1373a8cb6c6c1
143695094bbba
151b2533b3a7a
hexea1f1e8598

1005544441240 has 64 divisors (see below), whose sum is σ = 2289259764000. Its totient is φ = 397475527680.

The previous prime is 1005544441207. The next prime is 1005544441243. The reversal of 1005544441240 is 421444455001.

1005544441240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10055444412402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005544441196 and 1005544441205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005544441243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348180 + ... + 1956700.

Almost surely, 21005544441240 is an apocalyptic number.

1005544441240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005544441240 is an abundant number, since it is smaller than the sum of its proper divisors (1283715322760).

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

1005544441240 is a wasteful number, since it uses less digits than its factorization.

1005544441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609020 (or 609016 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 1005544441240 its reverse (421444455001), we get a palindrome (1426988896241).

The spelling of 1005544441240 in words is "one trillion, five billion, five hundred forty-four million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 379 436 545 758 872 1090 1516 1895 2180 3032 3790 4360 7580 15160 41311 82622 165244 206555 330488 413110 608521 826220 1217042 1652440 2434084 3042605 4868168 6085210 12170420 24340840 66328789 132657578 230629459 265315156 331643945 461258918 530630312 663287890 922517836 1153147295 1326575780 1845035672 2306294590 2653151560 4612589180 9225178360 25138611031 50277222062 100554444124 125693055155 201108888248 251386110310 502772220620 1005544441240