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10414005350 = 2527171750253
BaseRepresentation
bin10011011001011100…
…10001110001100110
3222212202210021200212
421230232101301212
5132311441132400
64441212135422
7516032404430
oct115456216146
928782707625
1010414005350
1144644863a1
122027767572
13c9c6c3758
1470b131650
1540e3db335
hex26cb91c66

10414005350 has 48 divisors (see below), whose sum is σ = 23439401568. Its totient is φ = 3360483840.

The previous prime is 10414005337. The next prime is 10414005359. The reversal of 10414005350 is 5350041401.

10414005350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414005359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869177 + ... + 881076.

It is an arithmetic number, because the mean of its divisors is an integer number (488320866).

Almost surely, 210414005350 is an apocalyptic number.

10414005350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10414005350 is an abundant number, since it is smaller than the sum of its proper divisors (13025396218).

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

10414005350 is a wasteful number, since it uses less digits than its factorization.

10414005350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750289 (or 1750284 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 10414005350 its reverse (5350041401), we get a palindrome (15764046751).

The spelling of 10414005350 in words is "ten billion, four hundred fourteen million, five thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 50 70 85 119 170 175 238 350 425 595 850 1190 2975 5950 1750253 3500506 8751265 12251771 17502530 24503542 29754301 43756325 59508602 61258855 87512650 122517710 148771505 208280107 297543010 306294275 416560214 612588550 743857525 1041400535 1487715050 2082801070 5207002675 10414005350