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142278444 = 22357111901
BaseRepresentation
bin10000111101011…
…11111100101100
3100220201111100000
420132233330230
5242410402234
622041304300
73345226650
oct1036577454
9326644300
10142278444
11733489a0
123b795090
1323627439
1414c78a60
15c756899
hex87aff2c

142278444 has 144 divisors (see below), whose sum is σ = 465244416. Its totient is φ = 36936000.

The previous prime is 142278427. The next prime is 142278497. The reversal of 142278444 is 444872241.

142278444 is a `hidden beast` number, since 142 + 2 + 78 + 444 = 666.

It is a super-2 number, since 2×1422784442 = 40486311254122272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142278399 and 142278408.

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 47 ways as a sum of consecutive naturals, for example, 73894 + ... + 75794.

It is an arithmetic number, because the mean of its divisors is an integer number (3230864).

Almost surely, 2142278444 is an apocalyptic number.

142278444 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 142278444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622208).

142278444 is an abundant number, since it is smaller than the sum of its proper divisors (322965972).

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

142278444 is a wasteful number, since it uses less digits than its factorization.

142278444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 142278444 is about 11928.0528167845. The cubic root of 142278444 is about 522.0511246003.

The spelling of 142278444 in words is "one hundred forty-two million, two hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 1901 2079 2268 2673 2772 3402 3564 3802 4158 5346 5703 6237 6804 7604 8316 10692 11406 12474 13307 17109 18711 20911 22812 24948 26614 34218 37422 39921 41822 51327 53228 62733 68436 74844 79842 83644 102654 119763 125466 146377 153981 159684 188199 205308 239526 250932 292754 307962 359289 376398 439131 461943 479052 564597 585508 615924 718578 752796 878262 923886 1077867 1129194 1317393 1437156 1693791 1756524 1847772 2155734 2258388 2634786 3233601 3387582 3952179 4311468 5081373 5269572 6467202 6775164 7904358 10162746 11856537 12934404 15808716 20325492 23713074 35569611 47426148 71139222 142278444