Search a number
-
+
4000012100004 = 22317169911540849
BaseRepresentation
bin111010001101010011010…
…011001110000110100100
3112011101201201110110000110
4322031103103032012210
51011014011044200004
612301325153213020
7561664012600104
oct72152323160644
915141651413013
104000012100004
111302439606578
1254728bb61170
132302794740bb
14db85cbad204
156e0b209a589
hex3a3534ce1a4

4000012100004 has 48 divisors (see below), whose sum is σ = 9888200280000. Its totient is φ = 1254167033856.

The previous prime is 4000012099943. The next prime is 4000012100009.

4000012100004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4000012100009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5423829 + ... + 6117020.

It is an arithmetic number, because the mean of its divisors is an integer number (206004172500).

Almost surely, 24000012100004 is an apocalyptic number.

It is an amenable number.

4000012100004 is an abundant number, since it is smaller than the sum of its proper divisors (5888188179996).

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

4000012100004 is a wasteful number, since it uses less digits than its factorization.

4000012100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542572 (or 11542570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 4000012100004 in words is "four trillion, twelve million, one hundred thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1699 3398 5097 6796 10194 20388 28883 57766 86649 115532 173298 346596 11540849 23081698 34622547 46163396 69245094 138490188 196194433 392388866 588583299 784777732 1177166598 2354333196 19607902451 39215804902 58823707353 78431609804 117647414706 235294829412 333334341667 666668683334 1000003025001 1333337366668 2000006050002 4000012100004