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2143142406 = 2323141113829
BaseRepresentation
bin111111110111101…
…1100001000000110
312112100200220200200
41333233130020012
513342121024111
6552354551330
7104052260406
oct17757341006
95470626620
102143142406
119aa825679
124b9898546
13282014b02
141648ba806
15c823a256
hex7fbdc206

2143142406 has 96 divisors (see below), whose sum is σ = 4959601920. Its totient is φ = 667699200.

The previous prime is 2143142371. The next prime is 2143142423. The reversal of 2143142406 is 6042413412.

It is a happy number.

2143142406 is a `hidden beast` number, since 214 + 3 + 1 + 42 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2143142406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2584800 + ... + 2585628.

It is an arithmetic number, because the mean of its divisors is an integer number (51662520).

Almost surely, 22143142406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143142406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479800960).

2143142406 is an abundant number, since it is smaller than the sum of its proper divisors (2816459514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2143142406 is a wasteful number, since it uses less digits than its factorization.

2143142406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2143142406 is about 46294.0860801896. The cubic root of 2143142406 is about 1289.2891955750.

Adding to 2143142406 its reverse (6042413412), we get a palindrome (8185555818).

The spelling of 2143142406 in words is "two billion, one hundred forty-three million, one hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 113 123 186 226 246 279 339 369 558 678 738 829 1017 1271 1658 2034 2487 2542 3503 3813 4633 4974 7006 7461 7626 9266 10509 11439 13899 14922 21018 22878 25699 27798 31527 33989 41697 51398 63054 67978 77097 83394 93677 101967 143623 154194 187354 203934 231291 281031 287246 305901 430869 462582 562062 611802 843093 861738 1053659 1292607 1686186 2107318 2585214 2903987 3160977 3840757 5807974 6321954 7681514 8711961 9482931 11522271 17423922 18965862 23044542 26135883 34566813 52271766 69133626 119063467 238126934 357190401 714380802 1071571203 2143142406