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32443323223140 = 22335163368590357
BaseRepresentation
bin1110110000001110011001…
…10000011000110001100100
311020212112212222101202002000
413120013030300120301210
513223022411221120030
6153000131255245300
76555644536203264
oct730071460306144
9136775788352060
1032443323223140
11a379155188a85
12377b897379830
131514513a17a1b
1480239daad7a4
153b3dd2cc5860
hex1d81ccc18c64

32443323223140 has 96 divisors (see below), whose sum is σ = 101554015436160. Its totient is φ = 8598475824768.

The previous prime is 32443323223117. The next prime is 32443323223183. The reversal of 32443323223140 is 4132232334423.

32443323223140 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 332 + 3 + 2 + 2 + 314 + 0 = 666.

It is a super-2 number, since 2×324433232231402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32443323223095 and 32443323223104.

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 31 ways as a sum of consecutive naturals, for example, 184207159 + ... + 184383198.

It is an arithmetic number, because the mean of its divisors is an integer number (1057854327460).

Almost surely, 232443323223140 is an apocalyptic number.

32443323223140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32443323223140 is an abundant number, since it is smaller than the sum of its proper divisors (69110692213020).

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

32443323223140 is a wasteful number, since it uses less digits than its factorization.

32443323223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368590538 (or 368590530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 32443323223140 its reverse (4132232334423), we get a palindrome (36575555557563).

The spelling of 32443323223140 in words is "thirty-two trillion, four hundred forty-three billion, three hundred twenty-three million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1467 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 14670 17604 22005 29340 44010 88020 368590357 737180714 1105771071 1474361428 1842951785 2211542142 3317313213 3685903570 4423084284 5528855355 6634626426 7371807140 9951939639 11057710710 13269252852 16586566065 19903879278 22115421420 33173132130 39807758556 49759698195 60080228191 66346264260 99519396390 120160456382 180240684573 199038792780 240320912764 300401140955 360481369146 540722053719 600802281910 720962738292 901203422865 1081444107438 1201604563820 1622166161157 1802406845730 2162888214876 2703610268595 3244332322314 3604813691460 5407220537190 6488664644628 8110830805785 10814441074380 16221661611570 32443323223140