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141363552 = 25311263509
BaseRepresentation
bin10000110110100…
…00100101100000
3100212000000100010
420123100211200
5242142113202
622005524520
73334366431
oct1033204540
9325000303
10141363552
1172883590
123b413740
1323396b95
1414abb488
15c62576c
hex86d0960

141363552 has 96 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 42590720.

The previous prime is 141363533. The next prime is 141363557. The reversal of 141363552 is 255363141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141363557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277474 + ... + 277982.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2141363552 is an apocalyptic number.

141363552 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 141363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

141363552 is an abundant number, since it is smaller than the sum of its proper divisors (265787808).

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

141363552 is a wasteful number, since it uses less digits than its factorization.

141363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 141363552 is about 11889.6405328336. The cubic root of 141363552 is about 520.9297370749.

The spelling of 141363552 in words is "one hundred forty-one million, three hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 263 264 352 509 526 528 789 1018 1052 1056 1527 1578 2036 2104 2893 3054 3156 4072 4208 5599 5786 6108 6312 8144 8416 8679 11198 11572 12216 12624 16288 16797 17358 22396 23144 24432 25248 33594 34716 44792 46288 48864 67188 69432 89584 92576 133867 134376 138864 179168 267734 268752 277728 401601 535468 537504 803202 1070936 1472537 1606404 2141872 2945074 3212808 4283744 4417611 5890148 6425616 8835222 11780296 12851232 17670444 23560592 35340888 47121184 70681776 141363552