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141020032 = 2717229283
BaseRepresentation
bin10000110011111…
…00101110000000
3100211100120010011
420121330232000
5242100120112
621554314304
73331436056
oct1031745600
9324316104
10141020032
117266948a
123b288994
13232a670a
1414a2c1d6
15c5a8aa7
hex867cb80

141020032 has 64 divisors (see below), whose sum is σ = 299818800. Its totient is φ = 65839104.

The previous prime is 141020029. The next prime is 141020039. The reversal of 141020032 is 230020141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 141019994 and 141020021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141020039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498163 + ... + 498445.

Almost surely, 2141020032 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 141020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909400).

141020032 is an abundant number, since it is smaller than the sum of its proper divisors (158798768).

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

141020032 is a wasteful number, since it uses less digits than its factorization.

141020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 141020032 is about 11875.1855564450. The cubic root of 141020032 is about 520.5074336620.

Adding to 141020032 its reverse (230020141), we get a palindrome (371040173).

The spelling of 141020032 in words is "one hundred forty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 229 272 283 458 544 566 916 1088 1132 1832 2176 2264 3664 3893 4528 4811 7328 7786 9056 9622 14656 15572 18112 19244 29312 31144 36224 38488 62288 64807 76976 124576 129614 153952 249152 259228 307904 498304 518456 615808 1036912 1101719 2073824 2203438 4147648 4406876 8295296 8813752 17627504 35255008 70510016 141020032