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141224000 = 2653127139
BaseRepresentation
bin10000110101011…
…10100001000000
3100211201220220112
420122232201000
5242123132000
622002530452
73333245531
oct1032564100
9324656815
10141224000
1172798755
123b366a28
13233484c8
1414a82688
15c5e9235
hex86ae840

141224000 has 112 divisors (see below), whose sum is σ = 355031040. Its totient is φ = 55641600.

The previous prime is 141223987. The next prime is 141224023. The reversal of 141224000 is 422141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015931 + ... + 1016069.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2141224000 is an apocalyptic number.

141224000 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 141224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

141224000 is an abundant number, since it is smaller than the sum of its proper divisors (213807040).

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

141224000 is a wasteful number, since it uses less digits than its factorization.

141224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 141224000 is about 11883.7704454437. The cubic root of 141224000 is about 520.7582626024.

Adding to 141224000 its reverse (422141), we get a palindrome (141646141).

The spelling of 141224000 in words is "one hundred forty-one million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 139 160 200 250 254 278 320 400 500 508 556 635 695 800 1000 1016 1112 1270 1390 1600 2000 2032 2224 2540 2780 3175 3475 4000 4064 4448 5080 5560 6350 6950 8000 8128 8896 10160 11120 12700 13900 15875 17375 17653 20320 22240 25400 27800 31750 34750 35306 40640 44480 50800 55600 63500 69500 70612 88265 101600 111200 127000 139000 141224 176530 203200 222400 254000 278000 282448 353060 441325 508000 556000 564896 706120 882650 1016000 1112000 1129792 1412240 1765300 2206625 2824480 3530600 4413250 5648960 7061200 8826500 14122400 17653000 28244800 35306000 70612000 141224000