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134432304210 = 23355318715021
BaseRepresentation
bin111110100110011001…
…0100010110001010010
3110211222211002121222000
41331030302202301102
54200304132213320
6141431330454430
712466233506031
oct1751462426122
9424884077860
10134432304210
1152015592966
1222079134416
13c8a5238549
146713dd2718
15376c02dc90
hex1f4cca2c52

134432304210 has 128 divisors (see below), whose sum is σ = 365518033920. Its totient is φ = 35146425600.

The previous prime is 134432304199. The next prime is 134432304211. The reversal of 134432304210 is 12403234431.

134432304210 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 230 + 421 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134432304211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26771500 + ... + 26776520.

It is an arithmetic number, because the mean of its divisors is an integer number (2855609640).

Almost surely, 2134432304210 is an apocalyptic number.

134432304210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134432304210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182759016960).

134432304210 is an abundant number, since it is smaller than the sum of its proper divisors (231085729710).

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

134432304210 is a wasteful number, since it uses less digits than its factorization.

134432304210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134432304210 its reverse (12403234431), we get a palindrome (146835538641).

The spelling of 134432304210 in words is "one hundred thirty-four billion, four hundred thirty-two million, three hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 1871 2385 2862 3742 4770 5021 5613 7155 9355 10042 11226 14310 15063 16839 18710 25105 28065 30126 33678 45189 50210 50517 56130 75315 84195 90378 99163 101034 135567 150630 168390 198326 225945 252585 266113 271134 297489 451890 495815 505170 532226 594978 677835 798339 892467 991630 1330565 1355670 1487445 1596678 1784934 2395017 2661130 2677401 2974890 3991695 4462335 4790034 5354802 7185051 7983390 8924670 9394291 11975085 13387005 14370102 18788582 23950170 26774010 28182873 35925255 46971455 56365746 71850510 84548619 93942910 140914365 169097238 253645857 281828730 422743095 497897423 507291714 845486190 995794846 1268229285 1493692269 2489487115 2536458570 2987384538 4481076807 4978974230 7468461345 8962153614 13443230421 14936922690 22405384035 26886460842 44810768070 67216152105 134432304210