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141288464 = 2429304501
BaseRepresentation
bin10000110101111…
…10010000010000
3100211212012100002
420122332100100
5242132212324
622004145132
73333634502
oct1032762020
9324765302
10141288464
1172832129
123b3981a8
132336b955
1414a9bd72
15c60d3ae
hex86be410

141288464 has 20 divisors (see below), whose sum is σ = 283186860. Its totient is φ = 68208000.

The previous prime is 141288463. The next prime is 141288467. The reversal of 141288464 is 464882141.

It can be written as a sum of positive squares in 2 ways, for example, as 116208400 + 25080064 = 10780^2 + 5008^2 .

It is not an unprimeable number, because it can be changed into a prime (141288463) 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 3 ways as a sum of consecutive naturals, for example, 151787 + ... + 152714.

It is an arithmetic number, because the mean of its divisors is an integer number (14159343).

Almost surely, 2141288464 is an apocalyptic number.

It is an amenable number.

141288464 is an abundant number, since it is smaller than the sum of its proper divisors (141898396).

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

141288464 is a wasteful number, since it uses less digits than its factorization.

141288464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304538 (or 304532 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 141288464 is about 11886.4824064986. The cubic root of 141288464 is about 520.8374867523.

The spelling of 141288464 in words is "one hundred forty-one million, two hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 304501 609002 1218004 2436008 4872016 8830529 17661058 35322116 70644232 141288464