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32133114141000 = 2335310711038047
BaseRepresentation
bin1110100111001100100101…
…10110101001100101001000
311012202220011222021121102120
413103212102312221211020
513202432104210003000
6152201425430131240
76524353344414015
oct723462266514510
9135686158247376
1032133114141000
11a269639251214
12372b742ab0b20
1314c11a7ab4812
147d1372b4070c
153aacc92086a0
hex1d3992da9948

32133114141000 has 64 divisors (see below), whose sum is σ = 100255316129280. Its totient is φ = 8568830436800.

The previous prime is 32133114140993. The next prime is 32133114141013. The reversal of 32133114141000 is 14141133123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355516024 + ... + 5355522023.

It is an arithmetic number, because the mean of its divisors is an integer number (1566489314520).

Almost surely, 232133114141000 is an apocalyptic number.

32133114141000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32133114141000 is an abundant number, since it is smaller than the sum of its proper divisors (68122201988280).

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

32133114141000 is a wasteful number, since it uses less digits than its factorization.

32133114141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10711038071 (or 10711038057 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32133114141000 its reverse (14141133123), we get a palindrome (32147255274123).

The spelling of 32133114141000 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred fourteen million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 10711038047 21422076094 32133114141 42844152188 53555190235 64266228282 85688304376 107110380470 128532456564 160665570705 214220760940 257064913128 267775951175 321331141410 428441521880 535551902350 642662282820 803327853525 1071103804700 1285324565640 1338879755875 1606655707050 2142207609400 2677759511750 3213311414100 4016639267625 5355519023500 6426622828200 8033278535250 10711038047000 16066557070500 32133114141000