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24013214000 = 2453171036857
BaseRepresentation
bin10110010111010011…
…001001000100110000
32021222112002122220022
4112113103021010300
5343134340322000
615010450303012
71510032644156
oct262723110460
967875078808
1024013214000
11a202919106
1247a1b87a68
132358c74a89
14123b2b93d6
15958251585
hex5974c9130

24013214000 has 160 divisors (see below), whose sum is σ = 62085419136. Its totient is φ = 8951193600.

The previous prime is 24013213943. The next prime is 24013214021. The reversal of 24013214000 is 41231042.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 24013214000.

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, 3498572 + ... + 3505428.

Almost surely, 224013214000 is an apocalyptic number.

24013214000 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 24013214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31042709568).

24013214000 is an abundant number, since it is smaller than the sum of its proper divisors (38072205136).

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

24013214000 is a wasteful number, since it uses less digits than its factorization.

24013214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 24013214000 its reverse (41231042), we get a palindrome (24054445042).

The spelling of 24013214000 in words is "twenty-four billion, thirteen million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 103 125 136 170 200 206 250 272 340 400 412 425 500 515 680 824 850 1000 1030 1360 1648 1700 1751 2000 2060 2125 2575 3400 3502 4120 4250 5150 6800 6857 7004 8240 8500 8755 10300 12875 13714 14008 17000 17510 20600 25750 27428 28016 34000 34285 35020 41200 43775 51500 54856 68570 70040 87550 103000 109712 116569 137140 140080 171425 175100 206000 218875 233138 274280 342850 350200 437750 466276 548560 582845 685700 700400 706271 857125 875500 932552 1165690 1371400 1412542 1714250 1751000 1865104 2331380 2742800 2825084 2914225 3428500 3502000 3531355 4662760 5650168 5828450 6857000 7062710 9325520 11300336 11656900 12006607 13714000 14125420 14571125 17656775 23313800 24013214 28250840 29142250 35313550 46627600 48026428 56501680 58284500 60033035 70627100 88283875 96052856 116569000 120066070 141254200 176567750 192105712 233138000 240132140 282508400 300165175 353135500 480264280 600330350 706271000 960528560 1200660700 1412542000 1500825875 2401321400 3001651750 4802642800 6003303500 12006607000 24013214000