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1143138690177 = 311473837272647
BaseRepresentation
bin10000101000101000011…
…000000010010010000001
311001021122022010021201120
4100220220120002102001
5122212122001041202
62233052313222453
7145406020354401
oct20505030022201
94037568107646
101143138690177
11400890a97460
1216566aa01a29
1383a4a1b1153
143d484860801
151eb07cc50bc
hex10a28602481

1143138690177 has 64 divisors (see below), whose sum is σ = 1705544515584. Its totient is φ = 675114834240.

The previous prime is 1143138690173. The next prime is 1143138690191. The reversal of 1143138690177 is 7710968313411.

It is not a de Polignac number, because 1143138690177 - 22 = 1143138690173 is a prime.

It is a super-3 number, since 3×11431386901773 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1143138690173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431860668 + ... + 431863314.

It is an arithmetic number, because the mean of its divisors is an integer number (26649133056).

Almost surely, 21143138690177 is an apocalyptic number.

It is an amenable number.

1143138690177 is a deficient number, since it is larger than the sum of its proper divisors (562405825407).

1143138690177 is a wasteful number, since it uses less digits than its factorization.

1143138690177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818.

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 1143138690177 in words is "one trillion, one hundred forty-three billion, one hundred thirty-eight million, six hundred ninety thousand, one hundred seventy-seven".

Divisors: 1 3 11 33 47 141 383 517 727 1149 1551 2181 2647 4213 7941 7997 12639 18001 23991 29117 34169 54003 87351 102507 124409 198011 278441 373227 375859 594033 835323 1013801 1127577 1368499 1924369 3041403 3062851 4105497 5773107 9188553 11151811 13086727 21168059 33455433 39260181 47648647 63504177 90445343 142945941 143953997 271336029 431861991 524135117 737033327 994898773 1572405351 2211099981 2984696319 8107366597 24322099791 34640566369 103921699107 381046230059 1143138690177