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141748992 = 28327111747
BaseRepresentation
bin10000111001011…
…10101100000000
3100212201121001200
420130232230000
5242241431432
622022101200
73340563240
oct1034565400
9325647050
10141748992
1173017130
123b57a800
13234a0458
1414b7bb20
15c69ea7c
hex872eb00

141748992 has 432 divisors, whose sum is σ = 550996992. Its totient is φ = 33914880.

The previous prime is 141748969. The next prime is 141748993. The reversal of 141748992 is 299847141.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (141748993) 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 47 ways as a sum of consecutive naturals, for example, 3015913 + ... + 3015959.

It is an arithmetic number, because the mean of its divisors is an integer number (1275456).

Almost surely, 2141748992 is an apocalyptic number.

141748992 is a gapful number since it is divisible by the number (12) 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 141748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496).

141748992 is an abundant number, since it is smaller than the sum of its proper divisors (409248000).

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

141748992 is a wasteful number, since it uses less digits than its factorization.

141748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 141748992 is about 11905.8385676944. The cubic root of 141748992 is about 521.4027608095.

The spelling of 141748992 in words is "one hundred forty-one million, seven hundred forty-eight thousand, nine hundred ninety-two".