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14411316724 = 22723291973917
BaseRepresentation
bin11010110101111101…
…10011110111110100
31101012100102202001021
431122332303313310
5214003244113344
610342004310524
71020061112440
oct153276636764
941170382037
1014411316724
1161258a3612
1229623a2444
1314888b345c
149a9d85820
155952ceb84
hex35afb3df4

14411316724 has 96 divisors (see below), whose sum is σ = 31278804480. Its totient is φ = 5673626112.

The previous prime is 14411316719. The next prime is 14411316769. The reversal of 14411316724 is 42761311441.

It is a self number, because there is not a number n which added to its sum of digits gives 14411316724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677214 + ... + 3681130.

It is an arithmetic number, because the mean of its divisors is an integer number (325820880).

Almost surely, 214411316724 is an apocalyptic number.

14411316724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14411316724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639402240).

14411316724 is an abundant number, since it is smaller than the sum of its proper divisors (16867487756).

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

14411316724 is a wasteful number, since it uses less digits than its factorization.

14411316724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4175 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The spelling of 14411316724 in words is "fourteen billion, four hundred eleven million, three hundred sixteen thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 197 203 322 394 406 644 667 788 812 1334 1379 2668 2758 3917 4531 4669 5516 5713 7834 9062 9338 11426 15668 18124 18676 22852 27419 31717 39991 54838 63434 79982 90091 109676 113593 126868 131399 159964 180182 227186 262798 360364 454372 525596 630637 771649 795151 919793 1261274 1543298 1590302 1839586 2522548 2612639 3086596 3180604 3679172 5225278 5401543 10450556 10803086 17747927 18288473 21606172 22377821 35495854 36576946 44755642 70991708 73153892 89511284 124235489 156644747 248470978 313289494 496941956 514689883 626578988 1029379766 2058759532 3602829181 7205658362 14411316724