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2144330110524 = 2237373001229903
BaseRepresentation
bin11111001101000100000…
…010001101011000111100
321120222220001102010200010
4133031010002031120330
5240113042002014044
64321031444103220
7310631333126220
oct37150402153074
97528801363603
102144330110524
11757450499068
122a7703994b10
13127295258c34
1475b01202780
153aba3e2ebb9
hex1f34408d63c

2144330110524 has 96 divisors (see below), whose sum is σ = 5874742429696. Its totient is φ = 595905984000.

The previous prime is 2144330110477. The next prime is 2144330110547. The reversal of 2144330110524 is 4250110334412.

It is a junction number, because it is equal to n+sod(n) for n = 2144330110491 and 2144330110500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9212157 + ... + 9442059.

Almost surely, 22144330110524 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 2144330110524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937371214848).

2144330110524 is an abundant number, since it is smaller than the sum of its proper divisors (3730412319172).

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

2144330110524 is a wasteful number, since it uses less digits than its factorization.

2144330110524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232955 (or 232953 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2144330110524 its reverse (4250110334412), we get a palindrome (6394440444936).

The spelling of 2144330110524 in words is "two trillion, one hundred forty-four billion, three hundred thirty million, one hundred ten thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3001 3108 6002 9003 12004 18006 21007 36012 42014 63021 84028 111037 126042 222074 229903 252084 333111 444148 459806 666222 689709 777259 919612 1332444 1379418 1554518 1609321 2331777 2758836 3109036 3218642 4663554 4827963 6437284 8506411 9327108 9655926 17012822 19311852 25519233 34025644 51038466 59544877 102076932 119089754 178634631 238179508 357269262 689938903 714538524 1379877806 2069816709 2759755612 4139633418 4829572321 8279266836 9659144642 14488716963 19318289284 25527739411 28977433926 51055478822 57954867852 76583218233 102110957644 153166436466 178694175877 306332872932 357388351754 536082527631 714776703508 1072165055262 2144330110524