Search a number
-
+
4054146414504 = 233390581432491
BaseRepresentation
bin111010111111101101111…
…101001111011110101000
3112100120110102201112221120
4322333231331033132220
51012410342440231004
612342241003335240
7565621345636644
oct72775575173650
915316412645846
104054146414504
111323398a6126a
12555879521520
132353c5901a64
14100316617c24
15706ce8973d9
hex3afedf4f7a8

4054146414504 has 32 divisors (see below), whose sum is σ = 10135415420640. Its totient is φ = 1351375553600.

The previous prime is 4054146414377. The next prime is 4054146414523.

4054146414504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40541464145042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9157699 + ... + 9590189.

It is an arithmetic number, because the mean of its divisors is an integer number (316731731895).

Almost surely, 24054146414504 is an apocalyptic number.

It is an amenable number.

4054146414504 is an abundant number, since it is smaller than the sum of its proper divisors (6081269006136).

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

4054146414504 is a wasteful number, since it uses less digits than its factorization.

4054146414504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823081 (or 823077 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 4054146414504 in words is "four trillion, fifty-four billion, one hundred forty-six million, four hundred fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 390581 432491 781162 864982 1171743 1297473 1562324 1729964 2343486 2594946 3124648 3459928 4686972 5189892 9373944 10379784 168922767271 337845534542 506768301813 675691069084 1013536603626 1351382138168 2027073207252 4054146414504