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1143144413411 = 711213617123971
BaseRepresentation
bin10000101000101000101…
…101110111100011100011
311001021122200220001112012
4100220220231313203203
5122212124432212121
62233053040023135
7145406120122250
oct20505055674343
94037580801465
101143144413411
11400894246400
12165670901aab
1383a4b436190
143d485510427
151eb08555c5b
hex10a28b778e3

1143144413411 has 96 divisors (see below), whose sum is σ = 1594035975168. Its totient is φ = 797338080000.

The previous prime is 1143144413387. The next prime is 1143144413413.

1143144413411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1143144413411 - 234 = 1125964544227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1143144413413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47676656 + ... + 47700626.

It is an arithmetic number, because the mean of its divisors is an integer number (16604541408).

Almost surely, 21143144413411 is an apocalyptic number.

1143144413411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1143144413411 is a deficient number, since it is larger than the sum of its proper divisors (450891561757).

1143144413411 is a wasteful number, since it uses less digits than its factorization.

1143144413411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24145 (or 24134 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 1143144413411 in words is "one trillion, one hundred forty-three billion, one hundred forty-four million, four hundred thirteen thousand, four hundred eleven".

Divisors: 1 7 11 13 61 71 77 91 121 143 427 497 671 781 793 847 923 1001 1573 4331 4697 5467 5551 6461 7381 8591 8723 10153 11011 23971 30317 47641 51667 56303 60137 61061 71071 95953 111683 167797 263681 311623 333487 394121 524051 619333 671671 781781 1462231 1701941 1845767 2181361 2900491 3427853 3668357 4335331 6812663 10235617 11913587 16084541 18721351 19009003 20303437 22125233 23994971 37706383 47688641 103818401 112591787 131049457 133063021 154876631 176929951 205934861 209099033 243377563 263944681 726728807 1142002411 1238509657 1349639213 1441544027 1463693231 1703642941 2300089363 2677153193 7994016877 9447474491 12562026521 14846031343 16100625541 18740072351 87934185647 103922219401 163306344773 1143144413411