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420110031435424 = 251110736073092363
BaseRepresentation
bin101111110000101100111110…
…1001100001011011010100000
32001002111010102102021200110121
41133201121331030023122200
5420031040321021413144
64045255514544410024
7154326643133512201
oct13741317514133240
92032433372250417
10420110031435424
11111950733554730
123b15017b616914
131505528a6b6b15
1475a5610d0d5a8
15338805cc1b384
hex17e167d30b6a0

420110031435424 has 96 divisors (see below), whose sum is σ = 910967091826176. Its totient is φ = 189121933029120.

The previous prime is 420110031435421. The next prime is 420110031435467. The reversal of 420110031435424 is 424534130011024.

It is a self number, because there is not a number n which added to its sum of digits gives 420110031435424.

It is not an unprimeable number, because it can be changed into a prime (420110031435421) 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, 134307867 + ... + 137400229.

It is an arithmetic number, because the mean of its divisors is an integer number (9489240539856).

Almost surely, 2420110031435424 is an apocalyptic number.

420110031435424 is a gapful number since it is divisible by the number (44) 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 420110031435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455483545913088).

420110031435424 is an abundant number, since it is smaller than the sum of its proper divisors (490857060390752).

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

420110031435424 is a wasteful number, since it uses less digits than its factorization.

420110031435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096098 (or 3096090 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 420110031435424 its reverse (424534130011024), we get a palindrome (844644161446448).

The spelling of 420110031435424 in words is "four hundred twenty trillion, one hundred ten billion, thirty-one million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 3607 4708 7214 9416 14428 18832 28856 37664 39677 57712 79354 115424 158708 317416 385949 634832 771898 1269664 1543796 3087592 3092363 4245439 6175184 6184726 8490878 12350368 12369452 16981756 24738904 33963512 34015993 49477808 67927024 68031986 98955616 135854048 136063972 272127944 330882841 544255888 661765682 1088511776 1323531364 2647062728 3639711251 5294125456 7279422502 10588250912 11154153341 14558845004 22308306682 29117690008 44616613364 58235380016 89233226728 116470760032 122695686751 178466453456 245391373502 356932906912 490782747004 981565494008 1193494407487 1963130988016 2386988814974 3926261976032 4773977629948 9547955259896 13128438482357 19095910519792 26256876964714 38191821039584 52513753929428 105027507858856 210055015717712 420110031435424