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1442143872 = 27331332099
BaseRepresentation
bin101010111110101…
…0101111010000000
310201111122111111000
41111331111322000
510423142100442
6355034052000
750511010041
oct12575257200
93644574430
101442143872
11680064044
12342b7a000
1319ca16090
14d97628c8
158691bd4c
hex55f55e80

1442143872 has 128 divisors (see below), whose sum is σ = 4583880000. Its totient is φ = 443722752.

The previous prime is 1442143867. The next prime is 1442143873. The reversal of 1442143872 is 2783412441.

1442143872 is a `hidden beast` number, since 1 + 442 + 143 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (1442143873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28879 + ... + 60977.

Almost surely, 21442143872 is an apocalyptic number.

1442143872 is a gapful number since it is divisible by the number (12) 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 1442143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291940000).

1442143872 is an abundant number, since it is smaller than the sum of its proper divisors (3141736128).

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

1442143872 is a wasteful number, since it uses less digits than its factorization.

1442143872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32135 (or 32117 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 1442143872 is about 37975.5694098193. The cubic root of 1442143872 is about 1129.8033625522.

The spelling of 1442143872 in words is "one billion, four hundred forty-two million, one hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 32099 44928 64198 96297 128396 192594 256792 288891 385188 417287 513584 577782 770376 834574 866673 1027168 1155564 1251861 1540752 1669148 1733346 2054336 2311128 2503722 3081504 3338296 3466692 3755583 4108672 4622256 5007444 6163008 6676592 6933384 7511166 9244512 10014888 11266749 12326016 13353184 13866768 15022332 18489024 20029776 22533498 26706368 27733536 30044664 36978048 40059552 45066996 53412736 55467072 60089328 80119104 90133992 110934144 120178656 160238208 180267984 240357312 360535968 480714624 721071936 1442143872