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1421234231424 = 27373571148063
BaseRepresentation
bin10100101011101000001…
…010010101100010000000
312000212110020221111221120
4110223220022111202000
5141241141430401144
63004523405552240
7204452336433210
oct24535012254200
95025406844846
101421234231424
114a8818743687
121ab540575680
13a4038bccc57
144cb067b2240
1526e82428e19
hex14ae8295880

1421234231424 has 128 divisors (see below), whose sum is σ = 4315698401280. Its totient is φ = 405950469120.

The previous prime is 1421234231423. The next prime is 1421234231437. The reversal of 1421234231424 is 4241324321241.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1421234231423) 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, 9524817 + ... + 9672879.

It is an arithmetic number, because the mean of its divisors is an integer number (33716393760).

Almost surely, 21421234231424 is an apocalyptic number.

1421234231424 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 1421234231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157849200640).

1421234231424 is an abundant number, since it is smaller than the sum of its proper divisors (2894464169856).

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

1421234231424 is a wasteful number, since it uses less digits than its factorization.

1421234231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151658 (or 151646 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 1421234231424 its reverse (4241324321241), we get a palindrome (5662558552665).

The spelling of 1421234231424 in words is "one trillion, four hundred twenty-one billion, two hundred thirty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3571 7142 10713 14284 21426 24997 28568 42852 49994 57136 74991 85704 99988 114272 148063 149982 171408 199976 228544 296126 299964 342816 399952 444189 457088 592252 599928 685632 799904 888378 1036441 1184504 1199856 1371264 1599808 1776756 2072882 2369008 2399712 3109323 3199616 3553512 4145764 4738016 4799424 6218646 7107024 8291528 9476032 9598848 12437292 14214048 16583056 18952064 24874584 28428096 33166112 49749168 56856192 66332224 99498336 132664448 198996672 397993344 528732973 1057465946 1586198919 2114931892 3172397838 3701130811 4229863784 6344795676 7402261622 8459727568 11103392433 12689591352 14804523244 16919455136 22206784866 25379182704 29609046488 33838910272 44413569732 50758365408 59218092976 67677820544 88827139464 101516730816 118436185952 177654278928 203033461632 236872371904 355308557856 473744743808 710617115712 1421234231424