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4101331014 = 232114729377
BaseRepresentation
bin1111010001110101…
…0101100001000110
3101120211101012110200
43310131111201012
531344420043024
61514545431330
7203430511164
oct36435254106
911524335420
104101331014
111815104770
1296563b546
1350490ccb1
142ac9b0234
151900de2c9
hexf4755846

4101331014 has 72 divisors (see below), whose sum is σ = 9905756328. Its totient is φ = 1216254720.

The previous prime is 4101330979. The next prime is 4101331067.

4101331014 is nontrivially palindromic in base 10.

4101331014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 432694 + ... + 442070.

It is an arithmetic number, because the mean of its divisors is an integer number (137579949).

Almost surely, 24101331014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101331014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952878164).

4101331014 is an abundant number, since it is smaller than the sum of its proper divisors (5804425314).

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

4101331014 is a wasteful number, since it uses less digits than its factorization.

4101331014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4101331014 is about 64041.6350041128. The cubic root of 4101331014 is about 1600.6938415194.

It can be divided in two parts, 41013 and 31014, that added together give a palindrome (72027).

The spelling of 4101331014 in words is "four billion, one hundred one million, three hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 2209 3102 4418 4653 6627 9306 9377 13254 18754 19881 24299 28131 39762 48598 56262 72897 84393 103147 145794 168786 206294 218691 309441 437382 440719 618882 881438 928323 1322157 1856646 2644314 3966471 4847909 7932942 9695818 14543727 20713793 29087454 41427586 43631181 62141379 87262362 124282758 186424137 227851723 372848274 455703446 683555169 1367110338 2050665507 4101331014