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230410807041140 = 225113747602255233
BaseRepresentation
bin110100011000111010110010…
…010011100101110001110100
31010012211001120022020202111022
4310120322302103211301310
5220200022313100304030
62134013132525200312
766350426410160435
oct6430726223456164
91105731508222438
10230410807041140
1167463746860760
1221a131a9100098
139b74851ca365b
1440c7d2a57548c
151b987a93d7de5
hexd18eb24e5c74

230410807041140 has 96 divisors (see below), whose sum is σ = 553650827595264. Its totient is φ = 79786773135360.

The previous prime is 230410807041127. The next prime is 230410807041143. The reversal of 230410807041140 is 41140708014032.

230410807041140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230410807041140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230410807041143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300745037 + ... + 301510196.

It is an arithmetic number, because the mean of its divisors is an integer number (5767196120784).

Almost surely, 2230410807041140 is an apocalyptic number.

230410807041140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230410807041140 is an abundant number, since it is smaller than the sum of its proper divisors (323240020554124).

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

230410807041140 is a wasteful number, since it uses less digits than its factorization.

230410807041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602255337 (or 602255335 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 230410807041140 in words is "two hundred thirty trillion, four hundred ten billion, eight hundred seven million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 47 55 74 94 110 148 185 188 220 235 370 407 470 517 740 814 940 1034 1628 1739 2035 2068 2585 3478 4070 5170 6956 8140 8695 10340 17390 19129 34780 38258 76516 95645 191290 382580 602255233 1204510466 2409020932 3011276165 6022552330 6624807563 12045104660 13249615126 22283443621 26499230252 28305995951 33124037815 44566887242 56611991902 66248075630 89133774484 111417218105 113223983804 132496151260 141529979755 222834436210 245117879831 283059959510 311365955461 445668872420 490235759662 566119919020 622731910922 980471519324 1047321850187 1225589399155 1245463821844 1556829777305 2094643700374 2451178798310 3113659554610 4189287400748 4902357596620 5236609250935 6227319109220 10473218501870 11520540352057 20946437003740 23041080704114 46082161408228 57602701760285 115205403520570 230410807041140