Search a number
-
+
4130463051 = 3411131911867
BaseRepresentation
bin1111011000110001…
…1101110101001011
3101122212012021010000
43312030131311023
531424344304201
61521510054043
7204233233221
oct36614356513
911585167100
104130463051
11182a5a2030
1297334a323
1350a96cba0
142b27d4b11
15192945d86
hexf631dd4b

4130463051 has 80 divisors (see below), whose sum is σ = 7290759168. Its totient is φ = 2297419200.

The previous prime is 4130463023. The next prime is 4130463061. The reversal of 4130463051 is 1503640314.

It is not a de Polignac number, because 4130463051 - 27 = 4130462923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4130463061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2211420 + ... + 2213286.

Almost surely, 24130463051 is an apocalyptic number.

4130463051 is a deficient number, since it is larger than the sum of its proper divisors (3160296117).

4130463051 is a wasteful number, since it uses less digits than its factorization.

4130463051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4130463051 is about 64268.6786156367. The cubic root of 4130463051 is about 1604.4748495906.

The spelling of 4130463051 in words is "four billion, one hundred thirty million, four hundred sixty-three thousand, fifty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 191 297 351 429 573 891 1053 1287 1719 1867 2101 2483 3861 5157 5601 6303 7449 11583 15471 16803 18909 20537 22347 24271 27313 50409 56727 61611 67041 72813 81939 151227 170181 184833 201123 218439 245817 266981 356597 554499 655317 737451 800943 1069791 1663497 1965951 2212353 2402829 3209373 3922567 4635761 7208487 9628119 11767701 13907283 21625461 28884357 35303103 41721849 50993371 105909309 125165547 152980113 317727927 375496641 458940339 1376821017 4130463051