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214545433104030 = 235717955337103141
BaseRepresentation
bin110000110010000011000000…
…010101000000111010011110
31001010122100021010011112200010
4300302003000111000322132
5211110103021333312110
62040144451124544050
763122252556612060
oct6062030025007236
91033570233145603
10214545433104030
11623a7230887996
1220090413552026
139293716c040b2
143ada0a9285730
1519c0c44561020
hexc320c0540e9e

214545433104030 has 128 divisors (see below), whose sum is σ = 591771432545280. Its totient is φ = 48763641461760.

The previous prime is 214545433103957. The next prime is 214545433104043. The reversal of 214545433104030 is 30401334545412.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214545433104030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2080066260 + ... + 2080169400.

It is an arithmetic number, because the mean of its divisors is an integer number (4623214316760).

Almost surely, 2214545433104030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214545433104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295885716272640).

214545433104030 is an abundant number, since it is smaller than the sum of its proper divisors (377225999441250).

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

214545433104030 is a wasteful number, since it uses less digits than its factorization.

214545433104030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158674.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 214545433104030 its reverse (30401334545412), we get a palindrome (244946767649442).

The spelling of 214545433104030 in words is "two hundred fourteen trillion, five hundred forty-five billion, four hundred thirty-three million, one hundred four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 358 537 895 1074 1253 1790 2506 2685 3759 5370 6265 7518 12530 18795 37590 55337 103141 110674 166011 206282 276685 309423 332022 387359 515705 553370 618846 721987 774718 830055 1031410 1162077 1443974 1547115 1660110 1936795 2165961 2324154 3094230 3609935 3873590 4331922 5810385 7219870 9905323 10829805 11620770 18462239 19810646 21659610 29715969 36924478 49526615 55386717 59431938 69337261 92311195 99053230 110773434 129235673 138674522 148579845 184622390 208011783 258471346 276933585 297159690 346686305 387707019 416023566 553867170 646178365 693372610 775414038 1040058915 1292356730 1938535095 2080117830 3877070190 5707513517 11415027034 17122540551 28537567585 34245081102 39952594619 57075135170 79905189238 85612702755 119857783857 171225405510 199762973095 239715567714 399525946190 599288919285 1021644919543 1198577838570 2043289839086 3064934758629 5108224597715 6129869517258 7151514436801 10216449195430 14303028873602 15324673793145 21454543310403 30649347586290 35757572184005 42909086620806 71515144368010 107272716552015 214545433104030