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1442433240 = 2332514926891
BaseRepresentation
bin101010111111001…
…1100100011011000
310201112012012102100
41111332130203120
510423230330430
6355044203400
750513323503
oct12576344330
93645165370
101442433240
11680241496
12343099560
1319cab79c1
14d97da13a
1586977960
hex55f9c8d8

1442433240 has 96 divisors (see below), whose sum is σ = 4719546000. Its totient is φ = 382053120.

The previous prime is 1442433227. The next prime is 1442433253. The reversal of 1442433240 is 423342441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1442433227) and next prime (1442433253).

It is a super-2 number, since 2×14424332402 = 4161227303713795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40195 + ... + 67085.

Almost surely, 21442433240 is an apocalyptic number.

1442433240 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 1442433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359773000).

1442433240 is an abundant number, since it is smaller than the sum of its proper divisors (3277112760).

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

1442433240 is a wasteful number, since it uses less digits than its factorization.

1442433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27057 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1442433240 is about 37979.3791418449. The cubic root of 1442433240 is about 1129.8789229920.

Adding to 1442433240 its reverse (423342441), we get a palindrome (1865775681).

The spelling of 1442433240 in words is "one billion, four hundred forty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 10728 13410 17880 26820 26891 53640 53782 80673 107564 134455 161346 215128 242019 268910 322692 403365 484038 537820 645384 806730 968076 1075640 1210095 1613460 1936152 2420190 3226920 4006759 4840380 8013518 9680760 12020277 16027036 20033795 24040554 32054072 36060831 40067590 48081108 60101385 72121662 80135180 96162216 120202770 144243324 160270360 180304155 240405540 288486648 360608310 480811080 721216620 1442433240