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234132134000 = 2453235089829
BaseRepresentation
bin1101101000001101011…
…1001101100001110000
3211101100001220202002112
43122003113031201300
512314000311242000
6255320412104452
722626004205522
oct3320327154160
9741301822075
10234132134000
1190327538706
1239462465128
13191037ba87b
14b491237a12
156154c24235
hex36835cd870

234132134000 has 80 divisors (see below), whose sum is σ = 590746029120. Its totient is φ = 89580972800.

The previous prime is 234132133993. The next prime is 234132134009. The reversal of 234132134000 is 431231432.

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 (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234132134009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498915 + ... + 2590914.

It is an arithmetic number, because the mean of its divisors is an integer number (7384325364).

Almost surely, 2234132134000 is an apocalyptic number.

234132134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234132134000 is an abundant number, since it is smaller than the sum of its proper divisors (356613895120).

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

234132134000 is a wasteful number, since it uses less digits than its factorization.

234132134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089875 (or 5089859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 234132134000 its reverse (431231432), we get a palindrome (234563365432).

The spelling of 234132134000 in words is "two hundred thirty-four billion, one hundred thirty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 5089829 10179658 20359316 25449145 40718632 50898290 81437264 101796580 117066067 127245725 203593160 234132134 254491450 407186320 468264268 508982900 585330335 636228625 936528536 1017965800 1170660670 1272457250 1873057072 2035931600 2341321340 2544914500 2926651675 4682642680 5089829000 5853303350 9365285360 10179658000 11706606700 14633258375 23413213400 29266516750 46826426800 58533033500 117066067000 234132134000