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1411389144361 = 722324721572
BaseRepresentation
bin10100100010011101010…
…110010011110100101001
311222221001010200021102101
4110202131112103310221
5141111011110104421
63000214435333401
7203653352532400
oct24423526236451
94887033607371
101411389144361
114a4626416a99
121a9653451261
13a312a341951
144c451056637
1526aa7e6b191
hex1489d593d29

1411389144361 has 81 divisors (see below), whose sum is σ = 1764841845879. Its totient is φ = 1125329613408.

The previous prime is 1411389144343. The next prime is 1411389144371. The reversal of 1411389144361 is 1634419831141.

The square root of 1411389144361 is 1188019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 413699808025 + 997689336336 = 643195^2 + 998844^2 .

It is a de Polignac number, because none of the positive numbers 2k-1411389144361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1411389144371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8989739695 + ... + 8989739851.

Almost surely, 21411389144361 is an apocalyptic number.

1411389144361 is the 1188019-th square number.

1411389144361 is the 594010-th centered octagonal number.

It is an amenable number.

1411389144361 is a deficient number, since it is larger than the sum of its proper divisors (353452701518).

1411389144361 is an frugal number, since it uses more digits than its factorization.

1411389144361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The spelling of 1411389144361 in words is "one trillion, four hundred eleven billion, three hundred eighty-nine million, one hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 7 23 47 49 157 161 329 529 1081 1099 1127 2209 2303 3611 3703 7379 7567 7693 15463 24649 24863 25277 25921 50807 51653 52969 83053 108241 169717 172543 174041 176939 346813 355649 361571 566927 581371 1158503 1168561 1188019 1207801 1218287 2427691 2489543 3903491 3968489 4069597 7976699 8109521 8179927 8316133 13039321 16993837 26645569 27324437 27779423 54449641 55836893 56766647 57259489 91275247 183464077 186518983 191271059 381147487 390858251 612848087 638926729 1252341743 1284248539 1305632881 2668032409 4289936609 8766392201 8989739773 28803860089 30029556263 61364745407 201627020623 1411389144361