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1442002016 = 257131729129
BaseRepresentation
bin101010111110011…
…0011010001100000
310201111101021220002
41111330303101200
510423123031031
6355031035132
750506546340
oct12574632140
93644337802
101442002016
1167aa77504
12342b0baa8
1319c996640
14d9726d20
15868deccb
hex55f33460

1442002016 has 96 divisors (see below), whose sum is σ = 3699743040. Its totient is φ = 536887296.

The previous prime is 1442002013. The next prime is 1442002027. The reversal of 1442002016 is 6102002441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442002013) 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, 34940 + ... + 64068.

It is an arithmetic number, because the mean of its divisors is an integer number (38538990).

Almost surely, 21442002016 is an apocalyptic number.

1442002016 is a gapful number since it is divisible by the number (16) 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 1442002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849871520).

1442002016 is an abundant number, since it is smaller than the sum of its proper divisors (2257741024).

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

1442002016 is a wasteful number, since it uses less digits than its factorization.

1442002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29176 (or 29168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1442002016 is about 37973.7016367907. The cubic root of 1442002016 is about 1129.7663170942.

Adding to 1442002016 its reverse (6102002441), we get a palindrome (7544004457).

The spelling of 1442002016 in words is "one billion, four hundred forty-two million, two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 12376 24752 29129 49504 58258 116516 203903 233032 378677 407806 466064 495193 757354 815612 932128 990386 1514708 1631224 1980772 2650739 3029416 3262448 3466351 3961544 5301478 6058832 6437509 6524896 6932702 7923088 10602956 12117664 12875018 13865404 15846176 21205912 25750036 27730808 42411824 45062563 51500072 55461616 84823648 90125126 103000144 110923232 180250252 206000288 360500504 721001008 1442002016