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1440142000 = 2453113541
BaseRepresentation
bin101010111010110…
…1101001010110000
310201100212210102121
41111311231022300
510422134021000
6354523124024
750455001503
oct12565551260
93640783377
101440142000
11679a17000
12342373614
1319c494b3b
14d93a113a
1586673b1a
hex55d6d2b0

1440142000 has 160 divisors (see below), whose sum is σ = 3837307968. Its totient is φ = 522720000.

The previous prime is 1440141973. The next prime is 1440142007. The reversal of 1440142000 is 2410441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1440142007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661730 + ... + 2662270.

Almost surely, 21440142000 is an apocalyptic number.

1440142000 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 1440142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918653984).

1440142000 is an abundant number, since it is smaller than the sum of its proper divisors (2397165968).

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

1440142000 is an equidigital number, since it uses as much as digits as its factorization.

1440142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 559 counting only the distinct ones).

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

The square root of 1440142000 is about 37949.2028901794. The cubic root of 1440142000 is about 1129.2803520806.

Adding to 1440142000 its reverse (2410441), we get a palindrome (1442552441).

The spelling of 1440142000 in words is "one billion, four hundred forty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 541 550 605 880 968 1000 1082 1100 1210 1331 1375 1936 2000 2164 2200 2420 2662 2705 2750 3025 4328 4400 4840 5324 5410 5500 5951 6050 6655 8656 9680 10648 10820 11000 11902 12100 13310 13525 15125 21296 21640 22000 23804 24200 26620 27050 29755 30250 33275 43280 47608 48400 53240 54100 59510 60500 65461 66550 67625 95216 106480 108200 119020 121000 130922 133100 135250 148775 166375 216400 238040 242000 261844 266200 270500 297550 327305 332750 476080 523688 532400 541000 595100 654610 665500 720071 743875 1047376 1082000 1190200 1309220 1331000 1440142 1487750 1636525 2380400 2618440 2662000 2880284 2975500 3273050 3600355 5236880 5760568 5951000 6546100 7200710 8182625 11521136 11902000 13092200 14401420 16365250 18001775 26184400 28802840 32730500 36003550 57605680 65461000 72007100 90008875 130922000 144014200 180017750 288028400 360035500 720071000 1440142000