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141284608 = 281931937
BaseRepresentation
bin10000110101111…
…01010100000000
3100211212000001021
420122331110000
5242132101413
622004115224
73333620323
oct1032752400
9324760037
10141284608
117282a243
123b395b14
1323369c7a
1414a9a7ba
15c60c18d
hex86bd500

141284608 has 72 divisors (see below), whose sum is σ = 306763520. Its totient is φ = 64696320.

The previous prime is 141284599. The next prime is 141284609. The reversal of 141284608 is 806482141.

It is a super-2 number, since 2×1412846082 = 39922680915427328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141284609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150316 + ... + 151252.

Almost surely, 2141284608 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 141284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153381760).

141284608 is an abundant number, since it is smaller than the sum of its proper divisors (165478912).

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

141284608 is an equidigital number, since it uses as much as digits as its factorization.

141284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 141284608 is about 11886.3202043357. The cubic root of 141284608 is about 520.8327485320.

The spelling of 141284608 in words is "one hundred forty-one million, two hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 937 992 1178 1216 1874 1984 2356 2432 3748 3968 4712 4864 7496 7936 9424 14992 17803 18848 29047 29984 35606 37696 58094 59968 71212 75392 116188 119936 142424 150784 232376 239872 284848 464752 551893 569696 929504 1103786 1139392 1859008 2207572 2278784 3718016 4415144 4557568 7436032 8830288 17660576 35321152 70642304 141284608