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24214322014140 = 2235965174181357
BaseRepresentation
bin1011000000101110101100…
…00011111110011110111100
310011201212101201211121000110
411200113112003332132330
511133211412413423030
6123255523404430020
75046266321055216
oct540272603763674
9104655351747013
1024214322014140
117796266569025
122870a93548310
1310685296453cb
145d9d9d8195b6
152bed0b8051b0
hex1605d60fe7bc

24214322014140 has 48 divisors (see below), whose sum is σ = 67800820322592. Its totient is φ = 6457084091136.

The previous prime is 24214322014121. The next prime is 24214322014297. The reversal of 24214322014140 is 4141022341242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24214322014098 and 24214322014107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700342 + ... + 7881698.

It is an arithmetic number, because the mean of its divisors is an integer number (1412517090054).

Almost surely, 224214322014140 is an apocalyptic number.

24214322014140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24214322014140 is an abundant number, since it is smaller than the sum of its proper divisors (43586498308452).

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

24214322014140 is a wasteful number, since it uses less digits than its factorization.

24214322014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277886 (or 4277884 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 24214322014140 its reverse (4141022341242), we get a palindrome (28355344355382).

The spelling of 24214322014140 in words is "twenty-four trillion, two hundred fourteen billion, three hundred twenty-two million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 96517 193034 289551 386068 482585 579102 965170 1158204 1447755 1930340 2895510 4181357 5791020 8362714 12544071 16725428 20906785 25088142 41813570 50176284 62720355 83627140 125440710 250881420 403572033569 807144067138 1210716100707 1614288134276 2017860167845 2421432201414 4035720335690 4842864402828 6053580503535 8071440671380 12107161007070 24214322014140