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1442160040 = 2351917910601
BaseRepresentation
bin101010111110101…
…1001110110101000
310201111200022122211
41111331121312220
510423143110130
6355034254504
750511105136
oct12575316650
93644608584
101442160040
11680075202
12342b87434
1319ca20549
14d9768756
1586921a2a
hex55f59da8

1442160040 has 64 divisors (see below), whose sum is σ = 3435048000. Its totient is φ = 543398400.

The previous prime is 1442160037. The next prime is 1442160043. The reversal of 1442160040 is 400612441.

It is an interprime number because it is at equal distance from previous prime (1442160037) and next prime (1442160043).

It is a junction number, because it is equal to n+sod(n) for n = 1442159993 and 1442160020.

It is not an unprimeable number, because it can be changed into a prime (1442160043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130740 + ... + 141340.

It is an arithmetic number, because the mean of its divisors is an integer number (53672625).

Almost surely, 21442160040 is an apocalyptic number.

1442160040 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 1442160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717524000).

1442160040 is an abundant number, since it is smaller than the sum of its proper divisors (1992887960).

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

1442160040 is a wasteful number, since it uses less digits than its factorization.

1442160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1442160040 is about 37975.7822829234. The cubic root of 1442160040 is about 1129.8075846443.

Adding to 1442160040 its reverse (400612441), we get a palindrome (1842772481).

The spelling of 1442160040 in words is "one billion, four hundred forty-two million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 179 190 358 380 716 760 895 1432 1790 3401 3580 6802 7160 10601 13604 17005 21202 27208 34010 42404 53005 68020 84808 106010 136040 201419 212020 402838 424040 805676 1007095 1611352 1897579 2014190 3795158 4028380 7590316 8056760 9487895 15180632 18975790 36054001 37951580 72108002 75903160 144216004 180270005 288432008 360540010 721080020 1442160040