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1442111130 = 232529673821
BaseRepresentation
bin101010111110100…
…1101111010011010
310201111120211120100
41111331031322122
510423140024010
6355033240230
750510512425
oct12575157232
93644524510
101442111130
11680041489
12342b63076
1319ca041c5
14d97549bc
15869122c0
hex55f4de9a

1442111130 has 96 divisors (see below), whose sum is σ = 3889276560. Its totient is φ = 370298880.

The previous prime is 1442111129. The next prime is 1442111161. The reversal of 1442111130 is 311112441.

It can be written as a sum of positive squares in 8 ways, for example, as 356869881 + 1085241249 = 18891^2 + 32943^2 .

It is a super-2 number, since 2×14421111302 = 4159369022539753800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756120 + ... + 1756940.

Almost surely, 21442111130 is an apocalyptic number.

1442111130 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 1442111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944638280).

1442111130 is an abundant number, since it is smaller than the sum of its proper divisors (2447165430).

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

1442111130 is a wasteful number, since it uses less digits than its factorization.

1442111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1442111130 is about 37975.1383144288. The cubic root of 1442111130 is about 1129.7948122491.

Adding to 1442111130 its reverse (311112441), we get a palindrome (1753223571).

The spelling of 1442111130 in words is "one billion, four hundred forty-two million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 673 821 870 1305 1346 1642 2019 2463 2610 3365 4038 4105 4926 6057 6730 7389 8210 10095 12114 12315 14778 19517 20190 23809 24630 30285 36945 39034 47618 58551 60570 71427 73890 97585 117102 119045 142854 175653 195170 214281 238090 292755 351306 357135 428562 552533 585510 714270 878265 1071405 1105066 1657599 1756530 2142810 2762665 3315198 4972797 5525330 8287995 9945594 16023457 16575990 24863985 32046914 48070371 49727970 80117285 96140742 144211113 160234570 240351855 288422226 480703710 721055565 1442111130