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1442415330 = 233523359647
BaseRepresentation
bin101010111111001…
…1000001011100010
310201112011021212000
41111332120023202
510423224242310
6355043544430
750513220336
oct12576301342
93645137760
101442415330
11680229a94
1234308b116
1319caac7c5
14d97d37c6
15869724c0
hex55f982e2

1442415330 has 128 divisors (see below), whose sum is σ = 4031078400. Its totient is φ = 366328512.

The previous prime is 1442415287. The next prime is 1442415341. The reversal of 1442415330 is 335142441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1442415294 and 1442415303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2229067 + ... + 2229713.

It is an arithmetic number, because the mean of its divisors is an integer number (31492800).

Almost surely, 21442415330 is an apocalyptic number.

1442415330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442415330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015539200).

1442415330 is an abundant number, since it is smaller than the sum of its proper divisors (2588663070).

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

1442415330 is a wasteful number, since it uses less digits than its factorization.

1442415330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1442415330 is about 37979.1433552680. The cubic root of 1442415330 is about 1129.8742465849.

Adding to 1442415330 its reverse (335142441), we get a palindrome (1777557771).

The spelling of 1442415330 in words is "one billion, four hundred forty-two million, four hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 359 414 621 647 690 718 1035 1077 1242 1294 1795 1941 2070 2154 3105 3231 3235 3590 3882 5385 5823 6210 6462 6470 8257 9693 9705 10770 11646 14881 16155 16514 17469 19386 19410 24771 29115 29762 32310 34938 41285 44643 48465 49542 58230 74313 74405 82570 87345 89286 96930 123855 133929 148626 148810 174690 222939 223215 232273 247710 267858 371565 401787 445878 446430 464546 669645 696819 743130 803574 1114695 1161365 1339290 1393638 2008935 2090457 2229390 2322730 3484095 4017870 4180914 5342279 6271371 6968190 10452285 10684558 12542742 16026837 20904570 26711395 31356855 32053674 48080511 53422790 62713710 80134185 96161022 144241533 160268370 240402555 288483066 480805110 721207665 1442415330