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141893505 = 33513233347
BaseRepresentation
bin10000111010100…
…01111110000001
3100212222221022000
420131101332001
5242311043010
622025134213
73342034455
oct1035217601
9325887260
10141893505
1173105766
123b62a369
1323521170
1414bb8665
15c6cc7c0
hex8751f81

141893505 has 64 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 69355008.

The previous prime is 141893489. The next prime is 141893519. The reversal of 141893505 is 505398141.

141893505 is a `hidden beast` number, since 141 + 8 + 9 + 3 + 505 = 666.

It is not a de Polignac number, because 141893505 - 24 = 141893489 is a prime.

It is a super-2 number, since 2×1418935052 = 40267533522370050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141893505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408742 + ... + 409088.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2141893505 is an apocalyptic number.

141893505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141893505 is a deficient number, since it is larger than the sum of its proper divisors (131718015).

141893505 is a wasteful number, since it uses less digits than its factorization.

141893505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 141893505 is about 11911.9060187696. The cubic root of 141893505 is about 521.5798905474.

The spelling of 141893505 in words is "one hundred forty-one million, eight hundred ninety-three thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 233 347 351 585 699 1041 1165 1735 1755 2097 3029 3123 3495 4511 5205 6291 9087 9369 10485 13533 15145 15615 22555 27261 31455 40599 45435 46845 67665 80851 81783 121797 136305 202995 242553 404255 408915 608985 727659 1051063 1212765 2182977 3153189 3638295 5255315 9459567 10914885 15765945 28378701 47297835 141893505