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10144410354 = 234134816909
BaseRepresentation
bin10010111001010011…
…10110101011110010
3222011222111102220000
421130221312223302
5131233432112404
64354341530430
7506250031251
oct113451665362
928158442800
1010144410354
114336289711
121b71413a16
13c588b00a0
146c33d4798
153e58d6339
hex25ca76af2

10144410354 has 40 divisors (see below), whose sum is σ = 24479536620. Its totient is φ = 3121356384.

The previous prime is 10144410347. The next prime is 10144410401. The reversal of 10144410354 is 45301444101.

It can be written as a sum of positive squares in 2 ways, for example, as 9795654729 + 348755625 = 98973^2 + 18675^2 .

It is a super-2 number, since 2×101444103542 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2406349 + ... + 2410560.

Almost surely, 210144410354 is an apocalyptic number.

10144410354 is an abundant number, since it is smaller than the sum of its proper divisors (14335126266).

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

10144410354 is a wasteful number, since it uses less digits than its factorization.

10144410354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816936 (or 4816927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10144410354 its reverse (45301444101), we get a palindrome (55445854455).

The spelling of 10144410354 in words is "ten billion, one hundred forty-four million, four hundred ten thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 4816909 9633818 14450727 28901454 43352181 62619817 86704362 125239634 130056543 187859451 260113086 375718902 390169629 563578353 780339258 1127156706 1690735059 3381470118 5072205177 10144410354