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2126144441124 = 22341129127161977
BaseRepresentation
bin11110111100001000000…
…101011000101100100100
321112020221122212102010000
4132330020011120230210
5234313320434103444
64304423130101300
7306415561364004
oct36741005305444
97466848772100
102126144441124
1174a769121520
122a408957a830
1312565771b102
1474c97c84004
153a48c5ed469
hex1ef08158b24

2126144441124 has 240 divisors, whose sum is σ = 6321962465280. Its totient is φ = 617167434240.

The previous prime is 2126144441077. The next prime is 2126144441243. The reversal of 2126144441124 is 4211444416212.

2126144441124 is a `hidden beast` number, since 2 + 1 + 2 + 614 + 4 + 4 + 4 + 11 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13045224 + ... + 13207200.

It is an arithmetic number, because the mean of its divisors is an integer number (26341510272).

Almost surely, 22126144441124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126144441124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160981232640).

2126144441124 is an abundant number, since it is smaller than the sum of its proper divisors (4195818024156).

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

2126144441124 is a wasteful number, since it uses less digits than its factorization.

2126144441124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162160 (or 162149 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 2126144441124 its reverse (4211444416212), we get a palindrome (6337588857336).

The spelling of 2126144441124 in words is "two trillion, one hundred twenty-six billion, one hundred forty-four million, four hundred forty-one thousand, one hundred twenty-four".