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141326166000 = 2435323554361
BaseRepresentation
bin1000001110011110110…
…0100010011111110000
3111111210021010002111110
42003213230202133300
54303413444303000
6144531354113320
713132123406325
oct2034754423760
9444707102443
10141326166000
1154a32a332a8
1223481a1b840
131043355bac6
146ba9800b4c
153a2237e850
hex20e7b227f0

141326166000 has 80 divisors (see below), whose sum is σ = 455635578528. Its totient is φ = 37686976000.

The previous prime is 141326165963. The next prime is 141326166053. The reversal of 141326166000 is 661623141.

141326166000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11771181 + ... + 11783180.

Almost surely, 2141326166000 is an apocalyptic number.

141326166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141326166000 is an abundant number, since it is smaller than the sum of its proper divisors (314309412528).

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

141326166000 is a wasteful number, since it uses less digits than its factorization.

141326166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554387 (or 23554371 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 141326166000 its reverse (661623141), we get a palindrome (141987789141).

The spelling of 141326166000 in words is "one hundred forty-one billion, three hundred twenty-six million, one hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23554361 47108722 70663083 94217444 117771805 141326166 188434888 235543610 282652332 353315415 376869776 471087220 565304664 588859025 706630830 942174440 1130609328 1177718050 1413261660 1766577075 1884348880 2355436100 2826523320 2944295125 3533154150 4710872200 5653046640 5888590250 7066308300 8832885375 9421744400 11777180500 14132616600 17665770750 23554361000 28265233200 35331541500 47108722000 70663083000 141326166000