Search a number
-
+
1143013046463 = 323721932292099
BaseRepresentation
bin10000101000100000111…
…000101111100010111111
311001021022112200220221200
4100220200320233202333
5122211342314441323
62233032024230543
7145402633406241
oct20504070574277
94037275626850
101143013046463
11400827080482
1216563490b453
1383a2a15c462
143d471cb6091
151eaebc57443
hex10a20e2f8bf

1143013046463 has 72 divisors (see below), whose sum is σ = 1713903282000. Its totient is φ = 734001647616.

The previous prime is 1143013046431. The next prime is 1143013046479. The reversal of 1143013046463 is 3646403103411.

1143013046463 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 1 + 3 + 0 + 4 + 646 + 3 = 666.

It is not a de Polignac number, because 1143013046463 - 25 = 1143013046431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143013046363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544550188 + ... + 544552286.

It is an arithmetic number, because the mean of its divisors is an integer number (23804212250).

Almost surely, 21143013046463 is an apocalyptic number.

1143013046463 is a deficient number, since it is larger than the sum of its proper divisors (570890235537).

1143013046463 is a wasteful number, since it uses less digits than its factorization.

1143013046463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1143013046463 its reverse (3646403103411), we get a palindrome (4789416149874).

The spelling of 1143013046463 in words is "one trillion, one hundred forty-three billion, thirteen million, forty-six thousand, four hundred sixty-three".

Divisors: 1 3 9 37 111 193 229 333 579 687 1369 1737 2061 2099 4107 6297 7141 8473 12321 18891 21423 25419 44197 64269 76257 77663 132591 232989 264217 313501 397773 405107 480671 698967 792651 940503 1215321 1442013 1635289 2377953 2821509 2873531 3645963 4326039 4905867 8620593 14717601 14988959 17784827 25861779 44966877 53354481 60505693 92769503 134900631 160063443 181517079 278308509 544551237 554591483 658038599 834925527 1663774449 1974115797 3432471611 4991323347 5922347391 10297414833 30892244499 127001449607 381004348821 1143013046463