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10414002312 = 2332729712507
BaseRepresentation
bin10011011001011100…
…10001000010001000
3222212202210010112100
421230232101002020
5132311441033222
64441212113400
7516032362530
oct115456210210
928782703470
1010414002312
11446448408a
122027765860
13c9c6c225c
1470b1304c0
1540e3da4ac
hex26cb91088

10414002312 has 96 divisors (see below), whose sum is σ = 33345374400. Its totient is φ = 2872824192.

The previous prime is 10414002311. The next prime is 10414002323. The reversal of 10414002312 is 21320041401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10414002311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341638 + ... + 370869.

It is an arithmetic number, because the mean of its divisors is an integer number (347347650).

Almost surely, 210414002312 is an apocalyptic number.

10414002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10414002312 is an abundant number, since it is smaller than the sum of its proper divisors (22931372088).

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

10414002312 is a wasteful number, since it uses less digits than its factorization.

10414002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712555 (or 712548 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10414002312 its reverse (21320041401), we get a palindrome (31734043713).

The spelling of 10414002312 in words is "ten billion, four hundred fourteen million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 712507 1425014 2137521 2850028 4275042 4987549 5700056 6412563 8550084 9975098 12825126 14962647 17100168 19950196 20662703 25650252 29925294 39900392 41325406 44887941 51300504 59850588 61988109 82650812 89775882 119701176 123976218 144638921 165301624 179551764 185964327 247952436 289277842 359103528 371928654 433916763 495904872 578555684 743857308 867833526 1157111368 1301750289 1487714616 1735667052 2603500578 3471334104 5207001156 10414002312