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141002752 = 211112569
BaseRepresentation
bin10000110011110…
…00100000000000
3100211022200102011
420121320200000
5242044042002
621554102304
73331334512
oct1031704000
9324280364
10141002752
1172657500
123b27a994
132329b8a7
1414a25bb2
15c5a38d7
hex8678800

141002752 has 72 divisors (see below), whose sum is σ = 310441950. Its totient is φ = 63979520.

The previous prime is 141002747. The next prime is 141002753. The reversal of 141002752 is 257200141.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 6071296 = 11616^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (141002753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247524 + ... + 248092.

Almost surely, 2141002752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155220975).

141002752 is an abundant number, since it is smaller than the sum of its proper divisors (169439198).

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

141002752 is an equidigital number, since it uses as much as digits as its factorization.

141002752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 141002752 is about 11874.4579665768. The cubic root of 141002752 is about 520.4861725316.

Adding to 141002752 its reverse (257200141), we get a palindrome (398202893).

The spelling of 141002752 in words is "one hundred forty-one million, two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 569 704 968 1024 1138 1408 1936 2048 2276 2816 3872 4552 5632 6259 7744 9104 11264 12518 15488 18208 22528 25036 30976 36416 50072 61952 68849 72832 100144 123904 137698 145664 200288 247808 275396 291328 400576 550792 582656 801152 1101584 1165312 1602304 2203168 3204608 4406336 6409216 8812672 12818432 17625344 35250688 70501376 141002752