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141675664 = 24133741449
BaseRepresentation
bin10000111000111…
…00110010010000
3100212120212110211
420130130302100
5242232110124
622020333504
73340136404
oct1034346220
9325525424
10141675664
1172a77029
123b544294
1323475c70
1414b5d104
15c687e94
hex871cc90

141675664 has 80 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 61931520.

The previous prime is 141675661. The next prime is 141675679. The reversal of 141675664 is 466576141.

It can be written as a sum of positive squares in 8 ways, for example, as 5253264 + 136422400 = 2292^2 + 11680^2 .

It is not an unprimeable number, because it can be changed into a prime (141675661) 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 15 ways as a sum of consecutive naturals, for example, 315312 + ... + 315760.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2141675664 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 141675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

141675664 is an abundant number, since it is smaller than the sum of its proper divisors (170023136).

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

141675664 is a wasteful number, since it uses less digits than its factorization.

141675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 141675664 is about 11902.7586718374. The cubic root of 141675664 is about 521.3128365571.

The spelling of 141675664 in words is "one hundred forty-one million, six hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 82 104 148 164 208 296 328 449 481 533 592 656 898 962 1066 1517 1796 1924 2132 3034 3592 3848 4264 5837 6068 7184 7696 8528 11674 12136 16613 18409 19721 23348 24272 33226 36818 39442 46696 66452 73636 78884 93392 132904 147272 157768 215969 239317 265808 294544 315536 431938 478634 681133 863876 957268 1362266 1727752 1914536 2724532 3455504 3829072 5449064 8854729 10898128 17709458 35418916 70837832 141675664