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42144200244124 = 22112825633389767
BaseRepresentation
bin10011001010100011101100…
…00101011011101110011100
312112012221112202222020202221
421211101312011123232130
521010442310230302444
6225344440040555124
711606550366306556
oct1145216605335634
9175187482866687
1042144200244124
1112479289382630
1248879b3482aa4
131a69247953974
14a59b0c3544d6
154d1402547a84
hex26547615bb9c

42144200244124 has 24 divisors (see below), whose sum is σ = 80457418032768. Its totient is φ = 19156381209840.

The previous prime is 42144200244109. The next prime is 42144200244203.

42144200244124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421442002441242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42144200244124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10737889 + ... + 14127655.

It is an arithmetic number, because the mean of its divisors is an integer number (3352392418032).

Almost surely, 242144200244124 is an apocalyptic number.

42144200244124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42144200244124 is a deficient number, since it is larger than the sum of its proper divisors (38313217788644).

42144200244124 is a wasteful number, since it uses less digits than its factorization.

42144200244124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672345 (or 3672343 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 42144200 and 244124, that added together give a palindrome (42388324).

The spelling of 42144200244124 in words is "forty-two trillion, one hundred forty-four billion, two hundred million, two hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 282563 565126 1130252 3108193 3389767 6216386 6779534 12432772 13559068 37287437 74574874 149149748 957822732821 1915645465642 3831290931284 10536050061031 21072100122062 42144200244124