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1442240000 = 29544507
BaseRepresentation
bin101010111110110…
…1101011000000000
310201111211101100022
41111331231120000
510423203140000
6355040113012
750511560225
oct12575553000
93644741308
101442240000
1168011a293
12343005768
1319ca4aa66
14d978994c
158693a585
hex55f6d600

1442240000 has 100 divisors (see below), whose sum is σ = 3601725204. Its totient is φ = 576768000.

The previous prime is 1442239991. The next prime is 1442240017. The reversal of 1442240000 is 422441.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 317747 + ... + 322253.

Almost surely, 21442240000 is an apocalyptic number.

1442240000 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 1442240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800862602).

1442240000 is an abundant number, since it is smaller than the sum of its proper divisors (2159485204).

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

1442240000 is an frugal number, since it uses more digits than its factorization.

1442240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1442240000 is about 37976.8350445373. The cubic root of 1442240000 is about 1129.8284648384.

Adding to 1442240000 its reverse (422441), we get a palindrome (1442662441).

The spelling of 1442240000 in words is "one billion, four hundred forty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 4507 5000 6400 8000 9014 10000 12800 16000 18028 20000 22535 32000 36056 40000 45070 64000 72112 80000 90140 112675 144224 160000 180280 225350 288448 320000 360560 450700 563375 576896 721120 901400 1126750 1153792 1442240 1802800 2253500 2307584 2816875 2884480 3605600 4507000 5633750 5768960 7211200 9014000 11267500 11537920 14422400 18028000 22535000 28844800 36056000 45070000 57689600 72112000 90140000 144224000 180280000 288448000 360560000 721120000 1442240000