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10143404032 = 2126140597
BaseRepresentation
bin10010111001001100…
…00001000000000000
3222011220121022110211
421130212001000000
5131233202412112
64354304203504
7506235340336
oct113446010000
928156538424
1010143404032
114335761643
121b71009594
13c5861a028
146c3211b56
153e57880a7
hex25c981000

10143404032 has 52 divisors (see below), whose sum is σ = 20617369516. Its totient is φ = 4988436480.

The previous prime is 10143404003. The next prime is 10143404057. The reversal of 10143404032 is 23040434101.

It can be written as a sum of positive squares in 2 ways, for example, as 5285871616 + 4857532416 = 72704^2 + 69696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10143403994 and 10143404012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229558 + ... + 270154.

Almost surely, 210143404032 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 10143404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308684758).

10143404032 is an abundant number, since it is smaller than the sum of its proper divisors (10473965484).

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

10143404032 is an frugal number, since it uses more digits than its factorization.

10143404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40682 (or 40660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10143404032 its reverse (23040434101), we get a palindrome (33183838133).

The spelling of 10143404032 in words is "ten billion, one hundred forty-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3904 4096 7808 15616 31232 40597 62464 81194 124928 162388 249856 324776 649552 1299104 2476417 2598208 4952834 5196416 9905668 10392832 19811336 20785664 39622672 41571328 79245344 83142656 158490688 166285312 316981376 633962752 1267925504 2535851008 5071702016 10143404032