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1144340043440 = 2451110112875113
BaseRepresentation
bin10000101001101111111…
…110110101011010110000
311001101202000200100120212
4100221233332311122300
5122222102022342230
62233411430323252
7145450545610136
oct20515776653260
94041660610525
101144340043440
114013481379a0
121659451b9528
1383bac05a579
143d55a223756
151eb784cb895
hex10a6ffb56b0

1144340043440 has 80 divisors (see below), whose sum is σ = 2931199953696. Its totient is φ = 412003584000.

The previous prime is 1144340043389. The next prime is 1144340043443. The reversal of 1144340043440 is 443400434411.

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

It is a super-2 number, since 2×11443400434402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144340043397 and 1144340043406.

It is not an unprimeable number, because it can be changed into a prime (1144340043443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6348677 + ... + 6526436.

Almost surely, 21144340043440 is an apocalyptic number.

1144340043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144340043440 is an abundant number, since it is smaller than the sum of its proper divisors (1786859910256).

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

1144340043440 is a wasteful number, since it uses less digits than its factorization.

1144340043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875238 (or 12875232 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1144340043440 its reverse (443400434411), we get a palindrome (1587740477851).

It can be divided in two parts, 1 and 144340043440, that added together give a palindrome (144340043441).

The spelling of 1144340043440 in words is "one trillion, one hundred forty-four billion, three hundred forty million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 12875113 25750226 51500452 64375565 103000904 128751130 141626243 206001808 257502260 283252486 515004520 566504972 708131215 1030009040 1133009944 1300386413 1416262430 2266019888 2600772826 2832524860 5201545652 5665049720 6501932065 10403091304 11330099440 13003864130 14304250543 20806182608 26007728260 28608501086 52015456520 57217002172 71521252715 104030913040 114434004344 143042505430 228868008688 286085010860 572170021720 1144340043440