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1440221300 = 2252717373271
BaseRepresentation
bin101010111011000…
…0000100001110100
310201101000211012122
41111312000201310
510422144040200
6354524535112
750455451630
oct12566004164
93641024178
101440221300
11679a70641
123423b1498
1319c4c1c6b
14d93c1dc0
158668c385
hex55d80874

1440221300 has 144 divisors (see below), whose sum is σ = 3885251328. Its totient is φ = 452044800.

The previous prime is 1440221267. The next prime is 1440221339. The reversal of 1440221300 is 31220441.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438665 + ... + 441935.

It is an arithmetic number, because the mean of its divisors is an integer number (26980912).

Almost surely, 21440221300 is an apocalyptic number.

1440221300 is a gapful number since it is divisible by the number (10) 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 1440221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942625664).

1440221300 is an abundant number, since it is smaller than the sum of its proper divisors (2445030028).

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

1440221300 is a wasteful number, since it uses less digits than its factorization.

1440221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3339 counting only the distinct ones).

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

The square root of 1440221300 is about 37950.2476935263. The cubic root of 1440221300 is about 1129.3010792700.

Adding to 1440221300 its reverse (31220441), we get a palindrome (1471441741).

The spelling of 1440221300 in words is "one billion, four hundred forty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 37 50 68 70 74 85 100 119 140 148 170 175 185 238 259 340 350 370 425 476 518 595 629 700 740 850 925 1036 1190 1258 1295 1700 1850 2380 2516 2590 2975 3145 3271 3700 4403 5180 5950 6290 6475 6542 8806 11900 12580 12950 13084 15725 16355 17612 22015 22897 25900 31450 32710 44030 45794 55607 62900 65420 81775 88060 91588 110075 111214 114485 121027 163550 220150 222428 228970 242054 278035 327100 389249 440300 457940 484108 556070 572425 605135 778498 847189 1112140 1144850 1210270 1390175 1556996 1694378 1946245 2057459 2289700 2420540 2780350 3025675 3388756 3892490 4114918 4235945 5560700 6051350 7784980 8229836 8471890 9731225 10287295 12102700 14402213 16943780 19462450 20574590 21179725 28804426 38924900 41149180 42359450 51436475 57608852 72011065 84718900 102872950 144022130 205745900 288044260 360055325 720110650 1440221300