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24023430000 = 243254266927
BaseRepresentation
bin10110010111111010…
…000111001101110000
32022000020022200121200
4112113322013031300
5343144444230000
615011453251200
71510215533343
oct262772071560
968006280550
1024023430000
11a208666589
1247a5493b00
13235b110a4b
14123c7b845a
159590bd500
hex597e87370

24023430000 has 150 divisors (see below), whose sum is σ = 84013719504. Its totient is φ = 6406224000.

The previous prime is 24023429993. The next prime is 24023430071. The reversal of 24023430000 is 3432042.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 43464 + ... + 223463.

Almost surely, 224023430000 is an apocalyptic number.

24023430000 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 24023430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42006859752).

24023430000 is an abundant number, since it is smaller than the sum of its proper divisors (59990289504).

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

24023430000 is a wasteful number, since it uses less digits than its factorization.

24023430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266961 (or 266937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 24023430000 its reverse (3432042), we get a palindrome (24026862042).

The spelling of 24023430000 in words is "twenty-four billion, twenty-three million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 266927 533854 800781 1067708 1334635 1601562 2135416 2402343 2669270 3203124 4003905 4270832 4804686 5338540 6406248 6673175 8007810 9609372 10677080 12011715 12812496 13346350 16015620 19218744 20019525 21354160 24023430 26692700 32031240 33365875 38437488 40039050 48046860 53385400 60058575 64062480 66731750 80078100 96093720 100097625 106770800 120117150 133463500 160156200 166829375 192187440 200195250 240234300 266927000 300292875 320312400 333658750 400390500 480468600 500488125 533854000 600585750 667317500 800781000 960937200 1000976250 1201171500 1334635000 1501464375 1601562000 2001952500 2402343000 2669270000 3002928750 4003905000 4804686000 6005857500 8007810000 12011715000 24023430000