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2024300230000 = 2454467433469
BaseRepresentation
bin11101011101010001101…
…100100011010101110000
321011112001222000102210121
4131131101230203111300
5231131231324330000
64145541203140024
7266152022023456
oct35352154432560
97145058012717
102024300230000
117105567852a4
122883a6074614
13118b76b0c0a9
146dd95d1c9d6
15379cb525b1a
hex1d751b23570

2024300230000 has 100 divisors (see below), whose sum is σ = 4911539335560. Its totient is φ = 807984352000.

The previous prime is 2024300229983. The next prime is 2024300230021. The reversal of 2024300230000 is 320034202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4453266 + ... + 4886734.

Almost surely, 22024300230000 is an apocalyptic number.

2024300230000 is a gapful number since it is divisible by the number (20) 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 2024300230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455769667780).

2024300230000 is an abundant number, since it is smaller than the sum of its proper divisors (2887239105560).

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

2024300230000 is an equidigital number, since it uses as much as digits as its factorization.

2024300230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433964 (or 433943 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 2024300230000 its reverse (320034202), we get a palindrome (2024620264202).

The spelling of 2024300230000 in words is "two trillion, twenty-four billion, three hundred million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 467 500 625 934 1000 1250 1868 2000 2335 2500 3736 4670 5000 7472 9340 10000 11675 18680 23350 37360 46700 58375 93400 116750 186800 233500 291875 433469 467000 583750 866938 934000 1167500 1733876 2167345 2335000 3467752 4334690 4670000 6935504 8669380 10836725 17338760 21673450 34677520 43346900 54183625 86693800 108367250 173387600 202430023 216734500 270918125 404860046 433469000 541836250 809720092 866938000 1012150115 1083672500 1619440184 2024300230 2167345000 3238880368 4048600460 4334690000 5060750575 8097200920 10121501150 16194401840 20243002300 25303752875 40486004600 50607505750 80972009200 101215011500 126518764375 202430023000 253037528750 404860046000 506075057500 1012150115000 2024300230000