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1442120200 = 235217523811
BaseRepresentation
bin101010111110101…
…0000001000001000
310201111121022000021
41111331100020020
510423140321300
6355033350224
750510551033
oct12575201010
93644538007
101442120200
11680048284
12342b68374
1319ca08381
14d975801a
1586914d1a
hex55f50208

1442120200 has 96 divisors (see below), whose sum is σ = 3561334560. Its totient is φ = 541209600.

The previous prime is 1442120189. The next prime is 1442120209. The reversal of 1442120200 is 20212441.

It is not an unprimeable number, because it can be changed into a prime (1442120209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777795 + ... + 1778605.

It is an arithmetic number, because the mean of its divisors is an integer number (37097235).

Almost surely, 21442120200 is an apocalyptic number.

1442120200 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 1442120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780667280).

1442120200 is an abundant number, since it is smaller than the sum of its proper divisors (2119214360).

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

1442120200 is a wasteful number, since it uses less digits than its factorization.

1442120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1442120200 is about 37975.2577344776. The cubic root of 1442120200 is about 1129.7971808178.

Adding to 1442120200 its reverse (20212441), we get a palindrome (1462332641).

The spelling of 1442120200 in words is "one billion, four hundred forty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 523 680 811 850 1046 1622 1700 2092 2615 3244 3400 4055 4184 5230 6488 8110 8891 10460 13075 13787 16220 17782 20275 20920 26150 27574 32440 35564 40550 44455 52300 55148 68935 71128 81100 88910 104600 110296 137870 162200 177820 222275 275740 344675 355640 424153 444550 551480 689350 848306 889100 1378700 1696612 1778200 2120765 2757400 3393224 4241530 7210601 8483060 10603825 14421202 16966120 21207650 28842404 36053005 42415300 57684808 72106010 84830600 144212020 180265025 288424040 360530050 721060100 1442120200