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141322000 = 2453193719
BaseRepresentation
bin10000110110001…
…10011100010000
3100211220220100011
420123012130100
5242134301000
622005004304
73334134331
oct1033063420
9324826304
10141322000
1172855346
123b3b3694
1323380cb1
1414aaa288
15c6182ba
hex86c6710

141322000 has 80 divisors (see below), whose sum is σ = 359798400. Its totient is φ = 53539200.

The previous prime is 141321991. The next prime is 141322007. The reversal of 141322000 is 223141.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (141322007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36141 + ... + 39859.

It is an arithmetic number, because the mean of its divisors is an integer number (4497480).

Almost surely, 2141322000 is an apocalyptic number.

141322000 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 141322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899200).

141322000 is an abundant number, since it is smaller than the sum of its proper divisors (218476400).

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

141322000 is a wasteful number, since it uses less digits than its factorization.

141322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 141322000 is about 11887.8930008644. The cubic root of 141322000 is about 520.8786918719.

Adding to 141322000 its reverse (223141), we get a palindrome (141545141).

The spelling of 141322000 in words is "one hundred forty-one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3719 3800 4750 7438 7600 9500 14876 18595 19000 29752 37190 38000 59504 70661 74380 92975 141322 148760 185950 282644 297520 353305 371900 464875 565288 706610 743800 929750 1130576 1413220 1487600 1766525 1859500 2826440 3533050 3719000 5652880 7066100 7438000 8832625 14132200 17665250 28264400 35330500 70661000 141322000