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141172140105 = 32523532573551
BaseRepresentation
bin1000001101111010000…
…0111110100001001001
3111111101112021202200200
42003132200332201021
54303110031440410
6144504212522413
713125243251253
oct2033640764111
9444345252620
10141172140105
1154963aa1377
122343a320409
131040a680619
146b93188cd3
153a13aa73c0
hex20de83e849

141172140105 has 48 divisors (see below), whose sum is σ = 260155224576. Its totient is φ = 70659388800.

The previous prime is 141172140097. The next prime is 141172140113. The reversal of 141172140105 is 501041271141.

141172140105 is a `hidden beast` number, since 1 + 411 + 7 + 2 + 140 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (141172140097) and next prime (141172140113).

It is not a de Polignac number, because 141172140105 - 23 = 141172140097 is a prime.

It is a super-2 number, since 2×1411721401052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231921 + ... + 1341630.

It is an arithmetic number, because the mean of its divisors is an integer number (5419900512).

Almost surely, 2141172140105 is an apocalyptic number.

141172140105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141172140105 is a deficient number, since it is larger than the sum of its proper divisors (118983084471).

141172140105 is a wasteful number, since it uses less digits than its factorization.

141172140105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573638 (or 2573635 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 141172140105 in words is "one hundred forty-one billion, one hundred seventy-two million, one hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 15 23 45 53 69 115 159 207 265 345 477 795 1035 1219 2385 3657 6095 10971 18285 54855 2573551 7720653 12867755 23161959 38603265 59191673 115809795 136398203 177575019 295958365 409194609 532725057 681991015 887875095 1227583827 2045973045 2663625285 3137158669 6137919135 9411476007 15685793345 28234428021 47057380035 141172140105