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1422442043424 = 253237235156779
BaseRepresentation
bin10100101100110000001…
…001110001100000100000
312000222120102122201112100
4110230300021301200200
5141301130130342144
63005243313330400
7204524303606043
oct24546011614040
95028512581470
101422442043424
114a92884a5716
121ab818b66a00
13a419c1cb0cc
144cbbcd76c5a
15270034a9269
hex14b30271820

1422442043424 has 144 divisors (see below), whose sum is σ = 4156236040320. Its totient is φ = 461128204800.

The previous prime is 1422442043383. The next prime is 1422442043431. The reversal of 1422442043424 is 4243402442241.

1422442043424 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 4 + 204 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25023867 + ... + 25080645.

It is an arithmetic number, because the mean of its divisors is an integer number (28862750280).

Almost surely, 21422442043424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422442043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078118020160).

1422442043424 is an abundant number, since it is smaller than the sum of its proper divisors (2733793996896).

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

1422442043424 is a wasteful number, since it uses less digits than its factorization.

1422442043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59183 (or 59172 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 1422442043424 its reverse (4243402442241), we get a palindrome (5665844485665).

The spelling of 1422442043424 in words is "one trillion, four hundred twenty-two billion, four hundred forty-two million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2351 2664 3552 4702 5328 7053 9404 10656 14106 18808 21159 28212 37616 42318 56424 56779 75232 84636 86987 112848 113558 169272 170337 173974 225696 227116 260961 338544 340674 347948 454232 511011 521922 677088 681348 695896 782883 908464 1022022 1043844 1362696 1391792 1565766 1816928 2044044 2087688 2100823 2725392 2783584 3131532 4088088 4175376 4201646 5450784 6263064 6302469 8176176 8350752 8403292 12526128 12604938 16352352 16806584 18907407 25052256 25209876 33613168 37814814 50419752 67226336 75629628 100839504 133487429 151259256 201679008 266974858 302518512 400462287 533949716 605037024 800924574 1067899432 1201386861 1601849148 2135798864 2402773722 3203698296 4271597728 4805547444 4939034873 6407396592 9611094888 9878069746 12814793184 14817104619 19222189776 19756139492 29634209238 38444379552 39512278984 44451313857 59268418476 79024557968 88902627714 118536836952 158049115936 177805255428 237073673904 355610510856 474147347808 711221021712 1422442043424