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1442042440 = 235376115973
BaseRepresentation
bin101010111110011…
…1101001001001000
310201111110100100021
41111330331021020
510423130324230
6355031550224
750510105236
oct12574751110
93644410307
101442042440
1167aaa4913
12342b2b374
1319c9abb67
14d9737956
15868ebc7a
hex55f3d248

1442042440 has 64 divisors (see below), whose sum is σ = 3387126960. Its totient is φ = 551992320.

The previous prime is 1442042419. The next prime is 1442042461. The reversal of 1442042440 is 442402441.

It is an interprime number because it is at equal distance from previous prime (1442042419) and next prime (1442042461).

It can be written as a sum of positive squares in 8 ways, for example, as 696643236 + 745399204 = 26394^2 + 27302^2 .

It is a super-2 number, since 2×14420424402 = 4158972797522307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82294 + ... + 98266.

Almost surely, 21442042440 is an apocalyptic number.

1442042440 is a gapful number since it is divisible by the number (10) 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 1442042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693563480).

1442042440 is an abundant number, since it is smaller than the sum of its proper divisors (1945084520).

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

1442042440 is a wasteful number, since it uses less digits than its factorization.

1442042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16082 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 1442042440 is about 37974.2338961565. The cubic root of 1442042440 is about 1129.7768740019.

Adding to 1442042440 its reverse (442402441), we get a palindrome (1884444881).

The spelling of 1442042440 in words is "one billion, four hundred forty-two million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 296 305 370 488 610 740 1220 1480 2257 2440 4514 9028 11285 15973 18056 22570 31946 45140 63892 79865 90280 127784 159730 319460 591001 638920 974353 1182002 1948706 2364004 2955005 3897412 4728008 4871765 5910010 7794824 9743530 11820020 19487060 23640040 36051061 38974120 72102122 144204244 180255305 288408488 360510610 721021220 1442042440