Search a number
-
+
10144140402 = 23111132515419
BaseRepresentation
bin10010111001010001…
…10100110001110010
3222011221222201120210
421130220310301302
5131233344443102
64354332044550
7506244525234
oct113450646162
928157881523
1010144140402
114336114910
121b71303756
13c58817256
146c3364254
153e588136c
hex25ca34c72

10144140402 has 64 divisors (see below), whose sum is σ = 22421629440. Its totient is φ = 3034080000.

The previous prime is 10144140379. The next prime is 10144140403. The reversal of 10144140402 is 20404144101.

It is not an unprimeable number, because it can be changed into a prime (10144140403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1869249 + ... + 1874667.

It is an arithmetic number, because the mean of its divisors is an integer number (350337960).

Almost surely, 210144140402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144140402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11210814720).

10144140402 is an abundant number, since it is smaller than the sum of its proper divisors (12277489038).

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

10144140402 is a wasteful number, since it uses less digits than its factorization.

10144140402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10144140402 its reverse (20404144101), we get a palindrome (30548284503).

The spelling of 10144140402 in words is "ten billion, one hundred forty-four million, one hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 113 226 251 339 502 678 753 1243 1506 2486 2761 3729 5419 5522 7458 8283 10838 16257 16566 28363 32514 56726 59609 85089 119218 170178 178827 311993 357654 612347 623986 935979 1224694 1360169 1837041 1871958 2720338 3674082 4080507 6735817 8161014 13471634 14961859 20207451 29923718 40414902 44885577 89771154 153699097 307398194 461097291 922194582 1690690067 3381380134 5072070201 10144140402