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1442104040 = 235132213329
BaseRepresentation
bin101010111110100…
…1100001011101000
310201111120110211202
41111331030023220
510423134312130
6355033143332
750510452646
oct12575141350
93644513752
101442104040
11680037123
12342b5ab48
1319ca00c00
14d9752196
1586910145
hex55f4c2e8

1442104040 has 48 divisors (see below), whose sum is σ = 3513545100. Its totient is φ = 532466688.

The previous prime is 1442104039. The next prime is 1442104043. The reversal of 1442104040 is 404012441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 342916324 + 1099187716 = 18518^2 + 33154^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1442104043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99905 + ... + 113424.

Almost surely, 21442104040 is an apocalyptic number.

1442104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442104040 is an abundant number, since it is smaller than the sum of its proper divisors (2071441060).

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

1442104040 is a wasteful number, since it uses less digits than its factorization.

1442104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213366 (or 213349 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1442104040 is about 37975.0449637653. The cubic root of 1442104040 is about 1129.7929607371.

Adding to 1442104040 its reverse (404012441), we get a palindrome (1846116481).

The spelling of 1442104040 in words is "one billion, four hundred forty-two million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 213329 426658 853316 1066645 1706632 2133290 2773277 4266580 5546554 8533160 11093108 13866385 22186216 27732770 36052601 55465540 72105202 110931080 144210404 180263005 288420808 360526010 721052020 1442104040