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14341256151728 = 2411415413673613
BaseRepresentation
bin1101000010110001010101…
…1110101000001010110000
31212210000021210120122020012
43100230111132220022300
53334431343033323403
650300140534434052
73010056460650602
oct320542536501260
955700253518205
1014341256151728
11462a102249350
121737521802928
138004b4159a4c
14378198927172
1519d0b04c1ed8
hexd0b157a82b0

14341256151728 has 80 divisors (see below), whose sum is σ = 31108927463712. Its totient is φ = 6348001536000.

The previous prime is 14341256151671. The next prime is 14341256151751. The reversal of 14341256151728 is 82715165214341.

It is a super-4 number, since 4×143412561517284 (a number of 54 digits) contains 4444 as substring.

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, 2067050 + ... + 5740662.

Almost surely, 214341256151728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341256151728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554463731856).

14341256151728 is an abundant number, since it is smaller than the sum of its proper divisors (16767671311984).

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

14341256151728 is a wasteful number, since it uses less digits than its factorization.

14341256151728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674214 (or 3674208 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The spelling of 14341256151728 in words is "fourteen trillion, three hundred forty-one billion, two hundred fifty-six million, one hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 541 656 902 1082 1804 2164 3608 4328 5951 7216 8656 11902 22181 23804 44362 47608 88724 95216 177448 243991 354896 487982 975964 1951928 3673613 3903856 7347226 14694452 29388904 40409743 58777808 80819486 150618133 161638972 301236266 323277944 602472532 646555888 1204945064 1656799463 1987424633 2409890128 3313598926 3974849266 6627197852 7949698532 13254395704 15899397064 21861670963 26508791408 31798794128 43723341926 81484409953 87446683852 162968819906 174893367704 325937639812 349786735408 651875279624 896328509483 1303750559248 1792657018966 3585314037932 7170628075864 14341256151728