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141008352 = 2534334159
BaseRepresentation
bin10000110011110…
…01110111100000
3100211022222002120
420121321313200
5242044231402
621554144240
73331360032
oct1031716740
9324288076
10141008352
1172660731
123b282080
13232a12c4
1414a27c52
15c5a53bc
hex8679de0

141008352 has 48 divisors (see below), whose sum is σ = 378766080. Its totient is φ = 45908352.

The previous prime is 141008311. The next prime is 141008381. The reversal of 141008352 is 253800141.

141008352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 12952 + ... + 21207.

It is an arithmetic number, because the mean of its divisors is an integer number (7890960).

Almost surely, 2141008352 is an apocalyptic number.

141008352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141008352 is an abundant number, since it is smaller than the sum of its proper divisors (237757728).

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

141008352 is a wasteful number, since it uses less digits than its factorization.

141008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34215 (or 34207 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 141008352 is about 11874.6937644724. The cubic root of 141008352 is about 520.4930629030.

Adding to 141008352 its reverse (253800141), we get a palindrome (394808493).

The spelling of 141008352 in words is "one hundred forty-one million, eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 34159 68318 102477 136636 204954 273272 409908 546544 819816 1093088 1468837 1639632 2937674 3279264 4406511 5875348 8813022 11750696 17626044 23501392 35252088 47002784 70504176 141008352