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1442347128 = 233312752579
BaseRepresentation
bin101010111111000…
…0111100001111000
310201112000211022000
41111332013201320
510423220102003
6355042301000
750512514445
oct12576074170
93645024260
101442347128
11680192822
12343057760
1319ca87751
14d97b69cc
158695c1a3
hex55f87878

1442347128 has 64 divisors (see below), whose sum is σ = 4038144000. Its totient is φ = 476987616.

The previous prime is 1442347091. The next prime is 1442347157. The reversal of 1442347128 is 8217432441.

1442347128 is a `hidden beast` number, since 144 + 23 + 471 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1442347092 and 1442347101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143 + ... + 53721.

It is an arithmetic number, because the mean of its divisors is an integer number (63096000).

Almost surely, 21442347128 is an apocalyptic number.

1442347128 is a gapful number since it is divisible by the number (18) 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 1442347128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019072000).

1442347128 is an abundant number, since it is smaller than the sum of its proper divisors (2595796872).

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

1442347128 is a wasteful number, since it uses less digits than its factorization.

1442347128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52721 (or 52711 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 1442347128 is about 37978.2454571035. The cubic root of 1442347128 is about 1129.8564382842.

Adding to 1442347128 its reverse (8217432441), we get a palindrome (9659779569).

The spelling of 1442347128 in words is "one billion, four hundred forty-two million, three hundred forty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 27432 52579 105158 157737 210316 315474 420632 473211 630948 946422 1261896 1419633 1892844 2839266 3785688 5678532 6677533 11357064 13355066 20032599 26710132 40065198 53420264 60097797 80130396 120195594 160260792 180293391 240391188 360586782 480782376 721173564 1442347128