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141457408 = 211172239
BaseRepresentation
bin10000110111001…
…11100000000000
3100212011210002021
420123213200000
5242203114113
622011531224
73335240161
oct1033474000
9325153067
10141457408
1172938054
123b459b14
13233ca811
1414b03768
15c64348d
hex86e7800

141457408 has 72 divisors (see below), whose sum is σ = 301719600. Its totient is φ = 66289664.

The previous prime is 141457403. The next prime is 141457411. The reversal of 141457408 is 804754141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141457403) 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, 591753 + ... + 591991.

It is an arithmetic number, because the mean of its divisors is an integer number (4190550).

Almost surely, 2141457408 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 141457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150859800).

141457408 is an abundant number, since it is smaller than the sum of its proper divisors (160262192).

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

141457408 is an equidigital number, since it uses as much as digits as its factorization.

141457408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 141457408 is about 11893.5868433370. The cubic root of 141457408 is about 521.0449991403.

The spelling of 141457408 in words is "one hundred forty-one million, four hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 239 256 272 289 478 512 544 578 956 1024 1088 1156 1912 2048 2176 2312 3824 4063 4352 4624 7648 8126 8704 9248 15296 16252 17408 18496 30592 32504 34816 36992 61184 65008 69071 73984 122368 130016 138142 147968 244736 260032 276284 295936 489472 520064 552568 591872 1040128 1105136 2080256 2210272 4160512 4420544 8321024 8841088 17682176 35364352 70728704 141457408