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234141053300 = 225271156953441
BaseRepresentation
bin1101101000001111100…
…1001111000101110100
3211101100200200220001222
43122003321033011310
512314010102201200
6255321331205512
722626143054360
oct3320371170564
9741320626058
10234141053300
119033157a930
1239465446898
13191055c156b
14b4924ba2a0
1561558d6d85
hex3683e4f174

234141053300 has 144 divisors (see below), whose sum is σ = 634583134080. Its totient is φ = 72849408000.

The previous prime is 234141053257. The next prime is 234141053347. The reversal of 234141053300 is 3350141432.

It is a self number, because there is not a number n which added to its sum of digits gives 234141053300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354580 + ... + 4408020.

It is an arithmetic number, because the mean of its divisors is an integer number (4406827320).

Almost surely, 2234141053300 is an apocalyptic number.

234141053300 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 234141053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317291567040).

234141053300 is an abundant number, since it is smaller than the sum of its proper divisors (400442080780).

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

234141053300 is a wasteful number, since it uses less digits than its factorization.

234141053300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042 (or 54035 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 234141053300 its reverse (3350141432), we get a palindrome (237491194732).

The spelling of 234141053300 in words is "two hundred thirty-four billion, one hundred forty-one million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 569 700 770 1100 1138 1540 1925 2276 2845 3850 3983 5690 6259 7700 7966 11380 12518 14225 15932 19915 25036 28450 31295 39830 43813 53441 56900 62590 79660 87626 99575 106882 125180 156475 175252 199150 213764 219065 267205 312950 374087 398300 438130 534410 587851 625900 748174 876260 1068820 1095325 1175702 1336025 1496348 1870435 2190650 2351404 2672050 2939255 3740870 4114957 4381300 5344100 5878510 7481740 8229914 9352175 11757020 14696275 16459828 18704350 20574785 29392550 30407929 37408700 41149570 58785100 60815858 82299140 102873925 121631716 152039645 205747850 212855503 304079290 334487219 411495700 425711006 608158580 668974438 760198225 851422012 1064277515 1337948876 1520396450 1672436095 2128555030 2341410533 3040792900 3344872190 4257110060 4682821066 5321387575 6689744380 8362180475 9365642132 10642775150 11707052665 16724360950 21285550300 23414105330 33448721900 46828210660 58535263325 117070526650 234141053300