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141411346209 = 34724721272
BaseRepresentation
bin1000001110110011000…
…1011110011100100001
3111112000012101200210000
42003230301132130201
54304102301034314
6144544035530213
713134206416200
oct2035461363441
9445005350700
10141411346209
1154a77022471
12234a6459969
13104480b3cb3
146bb6c55237
153a29aa8209
hex20ecc5e721

141411346209 has 135 divisors (see below), whose sum is σ = 253065061953. Its totient is φ = 78464462832.

The previous prime is 141411346187. The next prime is 141411346213. The reversal of 141411346209 is 902643114141.

The square root of 141411346209 is 376047.

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

141411346209 is a `hidden beast` number, since 1 + 4 + 1 + 411 + 34 + 6 + 209 = 666.

It is not a de Polignac number, because 141411346209 - 29 = 141411345697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141411346229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1113475104 + ... + 1113475230.

Almost surely, 2141411346209 is an apocalyptic number.

141411346209 is the 376047-th square number.

141411346209 is the 188024-th centered octagonal number.

It is an amenable number.

141411346209 is a deficient number, since it is larger than the sum of its proper divisors (111653715744).

141411346209 is an frugal number, since it uses more digits than its factorization.

141411346209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 141411346209 by its sum of digits (36), we get a square (5090808463524 = 22562822).

The spelling of 141411346209 in words is "one hundred forty-one billion, four hundred eleven million, three hundred forty-six thousand, two hundred nine".

Divisors: 1 3 7 9 21 27 47 49 63 81 127 141 147 189 329 381 423 441 567 889 987 1143 1269 1323 2209 2303 2667 2961 3429 3807 3969 5969 6223 6627 6909 8001 8883 10287 15463 16129 17907 18669 19881 20727 24003 26649 41783 46389 48387 53721 56007 59643 62181 72009 108241 112903 125349 139167 145161 161163 168021 178929 186543 280543 292481 324723 338709 376047 417501 435483 483489 504063 758063 790321 841629 877443 974169 1016127 1128141 1252503 1306449 1963801 2274189 2370963 2524887 2632329 2922507 3048381 3384423 5306441 5891403 6822567 7112889 7574661 7896987 8767521 9145143 13746607 15919323 17674209 20467701 21338667 22723983 23690961 35628961 37145087 41239821 47757969 53022627 61403103 64016001 106886883 111435261 123719463 143273907 159067881 249402727 320660649 334305783 371158389 429821721 748208181 961981947 1002917349 1113475167 1745819089 2244624543 2885945841 3008752047 5237457267 6733873629 15712371801 20201620887 47137115403 141411346209