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32141105150445 = 3252934617116209
BaseRepresentation
bin1110100111011011011110…
…01001111011100111101101
311012210122210212202221121100
413103231233021323213231
513203044440404303240
6152205230405153313
76525055356030444
oct723555711734755
9135718725687540
1032141105150445
11a271a69a38955
1237311b30bb839
1314c1b7c4ca685
147d18d0147d5b
153ab0e5a29e30
hex1d3b6f27b9ed

32141105150445 has 48 divisors (see below), whose sum is σ = 57648986506800. Its totient is φ = 16546037544960.

The previous prime is 32141105150443. The next prime is 32141105150449. The reversal of 32141105150445 is 54405150114123.

32141105150445 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 105 + 1 + 504 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2052073440036 + 30089031710409 = 1432506^2 + 5485347^2 .

It is not a de Polignac number, because 32141105150445 - 21 = 32141105150443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141105150443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958501 + ... + 8074709.

It is an arithmetic number, because the mean of its divisors is an integer number (1201020552225).

Almost surely, 232141105150445 is an apocalyptic number.

It is an amenable number.

32141105150445 is a deficient number, since it is larger than the sum of its proper divisors (25507881356355).

32141105150445 is a wasteful number, since it uses less digits than its factorization.

32141105150445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119710 (or 7119707 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 32141105150445 its reverse (54405150114123), we get a palindrome (86546255264568).

The spelling of 32141105150445 in words is "thirty-two trillion, one hundred forty-one billion, one hundred five million, one hundred fifty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 3461 10383 17305 31149 51915 100369 155745 301107 501845 903321 1505535 4516605 7116209 21348627 35581045 64045881 106743135 206370061 320229405 619110183 1031850305 1857330549 3095550915 9286652745 24629199349 73887598047 123145996745 221662794141 369437990235 714246781121 1108313970705 2142740343363 3571233905605 6428221030089 10713701716815 32141105150445