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234104443000 = 2353298990703
BaseRepresentation
bin1101101000000110110…
…1100101000001111000
3211101021010210220011221
43122001231211001320
512313421214134000
6255313542401424
722625216634661
oct3320155450170
9741233726157
10234104443000
1190312944a8a
1239455130274
13190cab4386c
14b48b6aa368
1561525a461a
hex3681b65078

234104443000 has 128 divisors (see below), whose sum is σ = 573067872000. Its totient is φ = 89395891200.

The previous prime is 234104442977. The next prime is 234104443007. The reversal of 234104443000 is 344401432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234104443007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2535649 + ... + 2626351.

It is an arithmetic number, because the mean of its divisors is an integer number (4477092750).

Almost surely, 2234104443000 is an apocalyptic number.

234104443000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234104443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286533936000).

234104443000 is an abundant number, since it is smaller than the sum of its proper divisors (338963429000).

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

234104443000 is a wasteful number, since it uses less digits than its factorization.

234104443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90842 (or 90828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 234104443000 its reverse (344401432), we get a palindrome (234448844432).

The spelling of 234104443000 in words is "two hundred thirty-four billion, one hundred four million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 89 100 116 125 145 178 200 232 250 290 356 445 500 580 712 725 890 1000 1160 1450 1780 2225 2581 2900 3560 3625 4450 5162 5800 7250 8900 10324 11125 12905 14500 17800 20648 22250 25810 29000 44500 51620 64525 89000 90703 103240 129050 181406 258100 322625 362812 453515 516200 645250 725624 907030 1290500 1814060 2267575 2581000 2630387 3628120 4535150 5260774 8072567 9070300 10521548 11337875 13151935 16145134 18140600 21043096 22675750 26303870 32290268 40362835 45351500 52607740 64580536 65759675 80725670 90703000 105215480 131519350 161451340 201814175 234104443 263038700 322902680 328798375 403628350 468208886 526077400 657596750 807256700 936417772 1009070875 1170522215 1315193500 1614513400 1872835544 2018141750 2341044430 2630387000 4036283500 4682088860 5852611075 8072567000 9364177720 11705222150 23410444300 29263055375 46820888600 58526110750 117052221500 234104443000