Search a number
-
+
42130033003124 = 22114123997714129
BaseRepresentation
bin10011001010001001010011…
…01001101100101001110100
312112011120222102210211200022
421211010221221230221310
521010224301422044444
6225334134151504312
711605536330613133
oct1145045151545164
9175146872724608
1042130033003124
11124732793367a0
1248850ba988098
131a67aca7ba521
14a5916698591a
154d0d738cb9ee
hex265129a6ca74

42130033003124 has 48 divisors (see below), whose sum is σ = 82736508153600. Its totient is φ = 18604769971200.

The previous prime is 42130033003067. The next prime is 42130033003139.

42130033003124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42130033003093 and 42130033003102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48425909 + ... + 49288220.

It is an arithmetic number, because the mean of its divisors is an integer number (1723677253200).

Almost surely, 242130033003124 is an apocalyptic number.

42130033003124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42130033003124 is a deficient number, since it is larger than the sum of its proper divisors (40606475150476).

42130033003124 is a wasteful number, since it uses less digits than its factorization.

42130033003124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97714424 (or 97714422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4213003 and 3003124, that added together give a palindrome (7216127).

The spelling of 42130033003124 in words is "forty-two trillion, one hundred thirty billion, thirty-three million, three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 41 44 82 164 239 451 478 902 956 1804 2629 5258 9799 10516 19598 39196 107789 215578 431156 97714129 195428258 390856516 1074855419 2149710838 4006279289 4299421676 8012558578 16025117156 23353676831 44069072179 46707353662 88138144358 93414707324 176276288716 256890445141 513780890282 957500750071 1027561780564 1915001500142 3830003000284 10532508250781 21065016501562 42130033003124