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10144223024 = 2413337144719
BaseRepresentation
bin10010111001010010…
…01000111100110000
3222011222010220220212
421130221020330300
5131233410114044
64354333523252
7506245321145
oct113451107460
928158126825
1010144223024
1143361709a1
121b71343528
13c58845a40
146c33863cc
153e589aa9e
hex25ca48f30

10144223024 has 40 divisors (see below), whose sum is σ = 21229266240. Its totient is φ = 4668023808.

The previous prime is 10144223021. The next prime is 10144223029. The reversal of 10144223024 is 42032244101.

It is not an unprimeable number, because it can be changed into a prime (10144223021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2264 + ... + 142455.

It is an arithmetic number, because the mean of its divisors is an integer number (530731656).

Almost surely, 210144223024 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 10144223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614633120).

10144223024 is an abundant number, since it is smaller than the sum of its proper divisors (11085043216).

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

10144223024 is a wasteful number, since it uses less digits than its factorization.

10144223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145077 (or 145071 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10144223024 its reverse (42032244101), we get a palindrome (52176467125).

The spelling of 10144223024 in words is "ten billion, one hundred forty-four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 2696 4381 5392 8762 17524 35048 70096 144719 289438 578876 1157752 1881347 2315504 3762694 7525388 15050776 30101552 48770303 97540606 195081212 390162424 634013939 780324848 1268027878 2536055756 5072111512 10144223024