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141882288 = 2433197983
BaseRepresentation
bin10000111010011…
…11001110110000
3100212222100220120
420131033032300
5242310213123
622025010240
73341656662
oct1035171660
9325870816
10141882288
11730a8299
123b623980
1323519022
1414bb4532
15c6c92e3
hex874f3b0

141882288 has 80 divisors (see below), whose sum is σ = 382642176. Its totient is φ = 45250560.

The previous prime is 141882283. The next prime is 141882311. The reversal of 141882288 is 882288141.

141882288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1418822882 = 40261167296229888, which contains 22 as substring.

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 (141882281) 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, 143845 + ... + 144827.

Almost surely, 2141882288 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 141882288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191321088).

141882288 is an abundant number, since it is smaller than the sum of its proper divisors (240759888).

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

141882288 is a wasteful number, since it uses less digits than its factorization.

141882288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its digits is 65536, while the sum is 42.

The square root of 141882288 is about 11911.4351780128. The cubic root of 141882288 is about 521.5661461649.

The spelling of 141882288 in words is "one hundred forty-one million, eight hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 186 194 248 291 372 388 496 582 744 776 983 1164 1488 1552 1966 2328 2949 3007 3932 4656 5898 6014 7864 9021 11796 12028 15728 18042 23592 24056 30473 36084 47184 48112 60946 72168 91419 95351 121892 144336 182838 190702 243784 286053 365676 381404 487568 572106 731352 762808 1144212 1462704 1525616 2288424 2955881 4576848 5911762 8867643 11823524 17735286 23647048 35470572 47294096 70941144 141882288