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214544354205104 = 247111797105605303
BaseRepresentation
bin110000110010000010000000…
…000001010101110110110000
31001010122020110221000210120122
4300302002000001111312300
5211110043314134030404
62040144152104225412
763122214046252130
oct6062020001256660
91033566427023518
10214544354205104
11623a6827875190
122009017216b268
1392935a4530a71
143ada005c7aac0
1519c0bce9973be
hexc32080055db0

214544354205104 has 160 divisors (see below), whose sum is σ = 554392362617856. Its totient is φ = 77860677058560.

The previous prime is 214544354205031. The next prime is 214544354205217. The reversal of 214544354205104 is 401502453445412.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50771084 + ... + 54834219.

Almost surely, 2214544354205104 is an apocalyptic number.

It is an amenable number.

214544354205104 is an abundant number, since it is smaller than the sum of its proper divisors (339848008412752).

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

214544354205104 is a wasteful number, since it uses less digits than its factorization.

214544354205104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105605443 (or 105605437 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 44.

The spelling of 214544354205104 in words is "two hundred fourteen trillion, five hundred forty-four billion, three hundred fifty-four million, two hundred five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 97 112 119 136 154 176 187 194 238 272 308 374 388 476 616 679 748 776 952 1067 1232 1309 1358 1496 1552 1649 1904 2134 2618 2716 2992 3298 4268 5236 5432 6596 7469 8536 10472 10864 11543 13192 14938 17072 18139 20944 23086 26384 29876 36278 46172 59752 72556 92344 119504 126973 145112 184688 253946 290224 507892 1015784 2031568 105605303 211210606 422421212 739237121 844842424 1161658333 1478474242 1689684848 1795290151 2323316666 2956948484 3590580302 4646633332 5913896968 7181160604 8131608331 9293266664 10243714391 11827793936 12567031057 14362321208 16263216662 18586533328 19748191661 20487428782 25134062114 28724642416 32526433324 39496383322 40974857564 50268124228 65052866648 71706000737 78992766644 81949715128 100536248456 112680858301 130105733296 138237341627 143412001474 157985533288 163899430256 174143144647 201072496912 225361716602 276474683254 286824002948 315971066576 348286289294 450723433204 552949366508 573648005896 696572578588 788766008107 901446866408 1105898733016 1147296011792 1219002012529 1393145157176 1577532016214 1802893732816 1915574591117 2211797466032 2438004025058 2786290314352 3155064032428 3831149182234 4876008050116 6310128064856 7662298364468 9752016100232 12620256129712 13409022137819 15324596728936 19504032200464 26818044275638 30649193457872 53636088551276 107272177102552 214544354205104