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1440344020 = 2251973137379
BaseRepresentation
bin101010111011001…
…1110011111010100
310201101021001112211
41111312132133110
510422212002040
6354531323204
750456502463
oct12566363724
93641231484
101440344020
1167a044865
12342450504
1319c535a8b
14d94149da
15866b38ea
hex55d9e7d4

1440344020 has 96 divisors (see below), whose sum is σ = 3259670400. Its totient is φ = 532998144.

The previous prime is 1440343997. The next prime is 1440344033. The reversal of 1440344020 is 204430441.

It is a junction number, because it is equal to n+sod(n) for n = 1440343982 and 1440344000.

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 31 ways as a sum of consecutive naturals, for example, 3800191 + ... + 3800569.

It is an arithmetic number, because the mean of its divisors is an integer number (33954900).

Almost surely, 21440344020 is an apocalyptic number.

1440344020 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 1440344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629835200).

1440344020 is an abundant number, since it is smaller than the sum of its proper divisors (1819326380).

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

1440344020 is a wasteful number, since it uses less digits than its factorization.

1440344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1440344020 is about 37951.8645128273. The cubic root of 1440344020 is about 1129.3331539455. Note that the first 3 decimals are identical.

Adding to 1440344020 its reverse (204430441), we get a palindrome (1644774461).

The spelling of 1440344020 in words is "one billion, four hundred forty million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 137 146 190 274 292 365 379 380 548 685 730 758 1370 1387 1460 1516 1895 2603 2740 2774 3790 5206 5548 6935 7201 7580 10001 10412 13015 13870 14402 20002 26030 27667 27740 28804 36005 40004 50005 51923 52060 55334 72010 100010 103846 110668 138335 144020 190019 200020 207692 259615 276670 380038 519230 525673 553340 760076 950095 986537 1038460 1051346 1900190 1973074 2102692 2628365 3790379 3800380 3946148 4932685 5256730 7580758 9865370 10513460 15161516 18951895 19730740 37903790 72017201 75807580 144034402 288068804 360086005 720172010 1440344020