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10144153146 = 237335964513
BaseRepresentation
bin10010111001010001…
…10111111000111010
3222011222000101001210
421130220313320322
5131233400400041
64354332223550
7506244610341
oct113450677072
928158011053
1010144153146
114336123446
121b7130abb6
13c5881ccaa
146c3368b58
153e5885016
hex25ca37e3a

10144153146 has 32 divisors (see below), whose sum is σ = 20623835520. Its totient is φ = 3325722624.

The previous prime is 10144153139. The next prime is 10144153163. The reversal of 10144153146 is 64135144101.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124986 + ... + 189498.

It is an arithmetic number, because the mean of its divisors is an integer number (644494860).

Almost surely, 210144153146 is an apocalyptic number.

10144153146 is an abundant number, since it is smaller than the sum of its proper divisors (10479682374).

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

10144153146 is a wasteful number, since it uses less digits than its factorization.

10144153146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64950.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10144153146 its reverse (64135144101), we get a palindrome (74279297247).

The spelling of 10144153146 in words is "ten billion, one hundred forty-four million, one hundred fifty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 73 146 219 359 438 718 1077 2154 26207 52414 64513 78621 129026 157242 193539 387078 4709449 9418898 14128347 23160167 28256694 46320334 69480501 138961002 1690692191 3381384382 5072076573 10144153146