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4105343151 = 3271379107593
BaseRepresentation
bin1111010010110010…
…1001000010101111
3101121002221001002100
43310230221002233
531401431440101
61515211430143
7203506561320
oct36454510257
911532831070
104105343151
1118173a5088
12966a55353
135056b6240
142ad336447
15190632e86
hexf4b290af

4105343151 has 96 divisors (see below), whose sum is σ = 7472424960. Its totient is φ = 2114491392.

The previous prime is 4105343149. The next prime is 4105343173. The reversal of 4105343151 is 1513435014.

It is a happy number.

It is not a de Polignac number, because 4105343151 - 21 = 4105343149 is a prime.

It is a super-3 number, since 3×41053431513 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105343551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6922711 + ... + 6923303.

It is an arithmetic number, because the mean of its divisors is an integer number (77837760).

Almost surely, 24105343151 is an apocalyptic number.

4105343151 is a deficient number, since it is larger than the sum of its proper divisors (3367081809).

4105343151 is a wasteful number, since it uses less digits than its factorization.

4105343151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4105343151 is about 64072.9517893471. The cubic root of 4105343151 is about 1601.2156322847.

Adding to 4105343151 its reverse (1513435014), we get a palindrome (5618778165).

The spelling of 4105343151 in words is "four billion, one hundred five million, three hundred forty-three thousand, one hundred fifty-one".

Divisors: 1 3 7 9 13 21 39 63 79 91 107 117 237 273 321 553 593 711 749 819 963 1027 1391 1659 1779 2247 3081 4151 4173 4977 5337 6741 7189 7709 8453 9243 9737 12453 12519 21567 23127 25359 29211 37359 46847 53963 59171 63451 64701 69381 76077 87633 109889 140541 161889 177513 190353 327929 329667 421623 444157 485667 532539 571059 609011 769223 824863 983787 989001 1332471 1827033 2307669 2474589 2951361 3997413 4263077 5012629 5481099 5774041 6923007 7423767 12789231 15037887 17322123 35088403 38367693 45113661 51966369 65164177 105265209 195492531 315795627 456149239 586477593 1368447717 4105343151