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4121311014 = 232192718933
BaseRepresentation
bin1111010110100110…
…0011011100100110
3101122012222021212200
43311221203130212
531420023423024
61520541555330
7204062365002
oct36551433446
911565867780
104121311014
111825410a67
12970275b46
13508ab7292
142b14d1702
15191c392c9
hexf5a63726

4121311014 has 72 divisors (see below), whose sum is σ = 9558022032. Its totient is φ = 1282992480.

The previous prime is 4121311001. The next prime is 4121311031. The reversal of 4121311014 is 4101131214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 456892 + ... + 465824.

It is an arithmetic number, because the mean of its divisors is an integer number (132750306).

Almost surely, 24121311014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779011016).

4121311014 is an abundant number, since it is smaller than the sum of its proper divisors (5436711018).

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

4121311014 is a wasteful number, since it uses less digits than its factorization.

4121311014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4121311014 is about 64197.4377526082. The cubic root of 4121311014 is about 1603.2889396132.

Adding to 4121311014 its reverse (4101131214), we get a palindrome (8222442228).

The spelling of 4121311014 in words is "four billion, one hundred twenty-one million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 361 426 639 722 1083 1278 1349 2166 2698 3249 4047 6498 8094 8933 12141 17866 24282 25631 26799 51262 53598 76893 80397 153786 160794 169727 230679 339454 461358 509181 634243 1018362 1268486 1527543 1902729 3055086 3224813 3805458 5708187 6449626 9674439 11416374 12050617 19348878 24101234 29023317 36151851 58046634 72303702 108455553 216911106 228961723 457923446 686885169 1373770338 2060655507 4121311014