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141412121443000 = 23533313677116189
BaseRepresentation
bin100000001001110100010011…
…010000111111101010111000
3200112200212101212212102220101
4200021310103100333222320
5122013344011042134000
61220431455354205144
741533455124354102
oct4011642320775270
9615625355772811
10141412121443000
11410705a8a48021
1213a3a7494237b4
1360ba14b68ca45
1426cc5516c8572
1511536c18a9e6a
hex809d1343fab8

141412121443000 has 128 divisors (see below), whose sum is σ = 331997197521600. Its totient is φ = 56378135616000.

The previous prime is 141412121442971. The next prime is 141412121443003. The reversal of 141412121443000 is 344121214141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141412121443000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141412121443003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217028906 + ... + 1217145094.

Almost surely, 2141412121443000 is an apocalyptic number.

141412121443000 is a gapful number since it is divisible by the number (10) 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 141412121443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165998598760800).

141412121443000 is an abundant number, since it is smaller than the sum of its proper divisors (190585076078600).

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

141412121443000 is a wasteful number, since it uses less digits than its factorization.

141412121443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120218 (or 120204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141412121443000 its reverse (344121214141), we get a palindrome (141756242657141).

The spelling of 141412121443000 in words is "one hundred forty-one trillion, four hundred twelve billion, one hundred twenty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 331 500 662 1000 1324 1655 2648 3310 3677 6620 7354 8275 13240 14708 16550 18385 29416 33100 36770 41375 66200 73540 82750 91925 116189 147080 165500 183850 232378 331000 367700 459625 464756 580945 735400 919250 929512 1161890 1217087 1838500 2323780 2434174 2904725 3677000 4647560 4868348 5809450 6085435 9736696 11618900 12170870 14523625 23237800 24341740 29047250 30427175 38458559 48683480 58094500 60854350 76917118 116189000 121708700 152135875 153834236 192292795 243417400 304271750 307668472 384585590 427226953 608543500 769171180 854453906 961463975 1217087000 1538342360 1708907812 1922927950 2136134765 3417815624 3845855900 4272269530 4807319875 7691711800 8544539060 9614639750 10680673825 17089078120 19229279500 21361347650 38458559000 42722695300 53403369125 85445390600 106806738250 141412121443 213613476500 282824242886 427226953000 565648485772 707060607215 1131296971544 1414121214430 2828242428860 3535303036075 5656484857720 7070606072150 14141212144300 17676515180375 28282424288600 35353030360750 70706060721500 141412121443000