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2324016951144 = 2337591271846181
BaseRepresentation
bin100001110100011010001…
…101000110111101101000
322020011200201220102000020
4201310122031012331220
5301034041314414034
64535345540440440
7326622210101220
oct41643215067550
98204621812006
102324016951144
11816678a88a39
123164b06a9120
1313b200045a75
14806a95a1080
15406bddca249
hex21d1a346f68

2324016951144 has 128 divisors (see below), whose sum is σ = 6805765324800. Its totient is φ = 647610405120.

The previous prime is 2324016951133. The next prime is 2324016951169. The reversal of 2324016951144 is 4411596104232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2324016951096 and 2324016951105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335734 + ... + 2181914.

It is an arithmetic number, because the mean of its divisors is an integer number (53170041600).

Almost surely, 22324016951144 is an apocalyptic number.

2324016951144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324016951144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402882662400).

2324016951144 is an abundant number, since it is smaller than the sum of its proper divisors (4481748373656).

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

2324016951144 is a wasteful number, since it uses less digits than its factorization.

2324016951144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846383 (or 1846379 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 2324016951144 in words is "two trillion, three hundred twenty-four billion, sixteen million, nine hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 127 168 177 236 254 354 381 413 472 508 708 762 826 889 1016 1239 1416 1524 1652 1778 2478 2667 3048 3304 3556 4956 5334 7112 7493 9912 10668 14986 21336 22479 29972 44958 52451 59944 89916 104902 157353 179832 209804 314706 419608 629412 1258824 1846181 3692362 5538543 7384724 11077086 12923267 14769448 22154172 25846534 38769801 44308344 51693068 77539602 103386136 108924679 155079204 217849358 234464987 310158408 326774037 435698716 468929974 653548074 703394961 762472753 871397432 937859948 1307096148 1406789922 1524945506 1641254909 1875719896 2287418259 2614192296 2813579844 3049891012 3282509818 4574836518 4923764727 5627159688 6099782024 6565019636 9149673036 9847529454 13130039272 13833434233 18299346072 19695058908 27666868466 39390117816 41500302699 55333736932 83000605398 96834039631 110667473864 166001210796 193668079262 290502118893 332002421592 387336158524 581004237786 774672317048 1162008475572 2324016951144