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1442102144 = 2772317417
BaseRepresentation
bin101010111110100…
…1011101110000000
310201111120101020112
41111331023232000
510423134232034
6355033130452
750510444300
oct12575135600
93644511215
101442102144
1168003575a
12342b59a28
1319ca000a2
14d9751600
158690e7ce
hex55f4bb80

1442102144 has 96 divisors (see below), whose sum is σ = 3450260160. Its totient is φ = 598026240.

The previous prime is 1442102083. The next prime is 1442102149. The reversal of 1442102144 is 4412012441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442102149) 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, 190724 + ... + 198140.

It is an arithmetic number, because the mean of its divisors is an integer number (35940210).

Almost surely, 21442102144 is an apocalyptic number.

1442102144 is a gapful number since it is divisible by the number (14) 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 1442102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725130080).

1442102144 is an abundant number, since it is smaller than the sum of its proper divisors (2008158016).

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

1442102144 is an equidigital number, since it uses as much as digits as its factorization.

1442102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1442102144 is about 37975.0199999947. The cubic root of 1442102144 is about 1129.7924656068.

Adding to 1442102144 its reverse (4412012441), we get a palindrome (5854114585).

The spelling of 1442102144 in words is "one billion, four hundred forty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 868 896 992 1519 1568 1736 1984 3038 3136 3472 3968 6076 6272 6944 7417 12152 13888 14834 24304 27776 29668 48608 51919 59336 97216 103838 118672 194432 207676 229927 237344 363433 415352 459854 474688 726866 830704 919708 949376 1453732 1609489 1661408 1839416 2907464 3218978 3322816 3678832 5814928 6437956 6645632 7357664 11266423 11629856 12875912 14715328 22532846 23259712 25751824 29430656 45065692 46519424 51503648 90131384 103007296 180262768 206014592 360525536 721051072 1442102144