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141122540000 = 2554133117509
BaseRepresentation
bin1000001101101110001…
…1110001000111100000
3111111021001221211010202
42003123203301013200
54303004332240000
6144455241444332
713124101540451
oct2033343610740
9444231854122
10141122540000
1154938aa4052
12234257a06a8
1310400305250
146b8a757128
153a0e55add5
hex20db8f11e0

141122540000 has 240 divisors, whose sum is σ = 385971949440. Its totient is φ = 50423040000.

The previous prime is 141122539979. The next prime is 141122540003. The reversal of 141122540000 is 45221141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122540003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8051246 + ... + 8068754.

It is an arithmetic number, because the mean of its divisors is an integer number (1608216456).

Almost surely, 2141122540000 is an apocalyptic number.

141122540000 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 141122540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192985974720).

141122540000 is an abundant number, since it is smaller than the sum of its proper divisors (244849409440).

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

141122540000 is a wasteful number, since it uses less digits than its factorization.

141122540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17583 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 141122540000 its reverse (45221141), we get a palindrome (141167761141).

The spelling of 141122540000 in words is "one hundred forty-one billion, one hundred twenty-two million, five hundred forty thousand".