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400144500 = 223253712703
BaseRepresentation
bin10111110110011…
…011100001110100
31000212221110001200
4113312123201310
51304414111000
6103412252500
712626113020
oct2766334164
91025843050
10400144500
11195964538
12b2011130
1364b922c2
143b201380
15251e1500
hex17d9b874

400144500 has 144 divisors (see below), whose sum is σ = 1442767872. Its totient is φ = 91454400.

The previous prime is 400144499. The next prime is 400144517. The reversal of 400144500 is 5441004.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25149 + ... + 37851.

Almost surely, 2400144500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721383936).

400144500 is an abundant number, since it is smaller than the sum of its proper divisors (1042623372).

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

400144500 is a wasteful number, since it uses less digits than its factorization.

400144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400144500 is about 20003.6121738050. The cubic root of 400144500 is about 736.8950128050.

Adding to 400144500 its reverse (5441004), we get a palindrome (405585504).

The spelling of 400144500 in words is "four hundred million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 12703 15750 25406 31500 38109 50812 63515 76218 88921 114327 127030 152436 177842 190545 228654 254060 266763 317575 355684 381090 444605 457308 533526 571635 635150 762180 800289 889210 952725 1067052 1143270 1270300 1333815 1587875 1600578 1778420 1905450 2223025 2286540 2667630 2858175 3175750 3201156 3810900 4001445 4446050 4763625 5335260 5716350 6351500 6669075 8002890 8892100 9527250 11115125 11432700 13338150 14290875 16005780 19054500 20007225 22230250 26676300 28581750 33345375 40014450 44460500 57163500 66690750 80028900 100036125 133381500 200072250 400144500