Search a number
-
+
42104122140124 = 22113919244172459
BaseRepresentation
bin10011001001011001000010…
…01111100110010111011100
312112002010002122221121201201
421210230201033212113130
521004313220231440444
6225314211112045244
711603631253120402
oct1144544117462734
9175063078847651
1042104122140124
1112463292328930
124880089393824
131a6552b656025
14a57bc9655472
154d0358c83dd4
hex264b213e65dc

42104122140124 has 24 divisors (see below), whose sum is σ = 80401107628800. Its totient is φ = 19133353808880.

The previous prime is 42104122140079. The next prime is 42104122140133.

42104122140124 is nontrivially palindromic in base 10.

42104122140124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42104122140092 and 42104122140101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121913794 + ... + 122258665.

It is an arithmetic number, because the mean of its divisors is an integer number (3350046151200).

Almost surely, 242104122140124 is an apocalyptic number.

42104122140124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42104122140124 is a deficient number, since it is larger than the sum of its proper divisors (38296985488676).

42104122140124 is a wasteful number, since it uses less digits than its factorization.

42104122140124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244176393 (or 244176391 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4210412 and 2140124, that added together give a palindrome (6350536).

The spelling of 42104122140124 in words is "forty-two trillion, one hundred four billion, one hundred twenty-two million, one hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 3919 7838 15676 43109 86218 172436 244172459 488344918 976689836 2685897049 5371794098 10743588196 956911866821 1913823733642 3827647467284 10526030535031 21052061070062 42104122140124