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141342720 = 2113543107
BaseRepresentation
bin10000110110010…
…11100000000000
3100211221221202120
420123023200000
5242140431340
622005244240
73334251621
oct1033134000
9324857676
10141342720
1172869972
123b403680
132338a55c
1414ab3a48
15c61e4d0
hex86cb800

141342720 has 192 divisors, whose sum is σ = 467026560. Its totient is φ = 36470784.

The previous prime is 141342713. The next prime is 141342737. The reversal of 141342720 is 27243141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1320907 + ... + 1321013.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2141342720 is an apocalyptic number.

141342720 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 141342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

141342720 is an abundant number, since it is smaller than the sum of its proper divisors (325683840).

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

141342720 is a wasteful number, since it uses less digits than its factorization.

141342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 141342720 is about 11888.7644437931. The cubic root of 141342720 is about 520.9041469298.

Adding to 141342720 its reverse (27243141), we get a palindrome (168585861).

The spelling of 141342720 in words is "one hundred forty-one million, three hundred forty-two thousand, seven hundred twenty".