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453407214141 = 33747533073137
BaseRepresentation
bin1101001100100010010…
…11010000101000111101
31121100022201122221202000
412212101023100220331
524412034221323031
6544143054052513
744520565505460
oct6462113205075
91540281587660
10453407214141
1116531a608902
1273a591aa139
13339aa25b6bb
1417d3321b2d7
15bbda46d3e6
hex69912d0a3d

453407214141 has 128 divisors (see below), whose sum is σ = 801657077760. Its totient is φ = 247903358976.

The previous prime is 453407214137. The next prime is 453407214157. The reversal of 453407214141 is 141412704354.

453407214141 is a `hidden beast` number, since 4 + 534 + 0 + 72 + 14 + 1 + 41 = 666.

It is not a de Polignac number, because 453407214141 - 22 = 453407214137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 453407214096 and 453407214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453407214101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144533725 + ... + 144536861.

It is an arithmetic number, because the mean of its divisors is an integer number (6262945920).

Almost surely, 2453407214141 is an apocalyptic number.

It is an amenable number.

453407214141 is a deficient number, since it is larger than the sum of its proper divisors (348249863619).

453407214141 is a wasteful number, since it uses less digits than its factorization.

453407214141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 453407214141 its reverse (141412704354), we get a palindrome (594819918495).

The spelling of 453407214141 in words is "four hundred fifty-three billion, four hundred seven million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 47 53 63 141 159 189 307 329 371 423 477 921 987 1113 1269 1431 2149 2491 2763 2961 3137 3339 6447 7473 8289 8883 9411 10017 14429 16271 17437 19341 21959 22419 28233 43287 48813 52311 58023 65877 67257 84699 101003 113897 129861 146439 147439 156933 166261 197631 303009 341691 389583 439317 442317 470799 498783 592893 764737 909027 963059 1025073 1032073 1163827 1326951 1496349 2294211 2727081 2889177 3075219 3096219 3491481 3980853 4489047 5353159 6741413 6882633 7814267 8667531 9288657 10474443 16059477 20224239 20647899 23442801 26002593 27865971 31423329 45263773 48178431 51042127 54699869 60672717 70328403 135791319 144535293 153126381 164099607 182018151 210985209 316846411 357294889 407373957 459379143 492298821 950539233 1071884667 1222121871 1378137429 1476896463 2398979969 2851617699 3215654001 7196939907 8554853097 9646962003 16792859783 21590819721 50378579349 64772459163 151135738047 453407214141