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203808005401 = 72114132412
BaseRepresentation
bin1011110111001111100…
…1110101110100011001
3201111001201201101212111
42331303321311310121
511314344322133101
6233343400512321
720503360314400
oct2756371656431
9644051641774
10203808005401
1179486340000
12335baa7b6a1
13162b022a300
149c15b38637
15547c922251
hex2f73e75d19

203808005401 has 135 divisors (see below), whose sum is σ = 289448932365. Its totient is φ = 143019676800.

The previous prime is 203808005399. The next prime is 203808005419. The reversal of 203808005401 is 104500808302.

The square root of 203808005401 is 451451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135751718025 + 68056287376 = 368445^2 + 260876^2 .

It is not a de Polignac number, because 203808005401 - 21 = 203808005399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203808005441) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4970926941 + ... + 4970926981.

Almost surely, 2203808005401 is an apocalyptic number.

203808005401 is the 451451-st square number.

203808005401 is the 225726-th centered octagonal number.

It is an amenable number.

203808005401 is a deficient number, since it is larger than the sum of its proper divisors (85640926964).

203808005401 is an frugal number, since it uses more digits than its factorization.

203808005401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 203808005401 in words is "two hundred three billion, eight hundred eight million, five thousand, four hundred one".

Divisors: 1 7 11 13 41 49 77 91 121 143 169 287 451 533 539 637 847 1001 1183 1331 1573 1681 1859 2009 3157 3731 4961 5863 5929 6929 7007 8281 9317 11011 11767 13013 14641 17303 18491 20449 21853 22099 26117 34727 41041 48503 54571 64493 65219 76219 77077 82369 91091 102487 121121 129437 143143 152971 190333 203401 224939 240383 243089 284089 287287 339521 381997 451451 533533 600281 709423 717409 838409 847847 906059 1002001 1070797 1332331 1423807 1574573 1682681 1988623 2237411 2474329 2644213 2673979 3124979 3160157 3734731 4201967 4965961 5868863 7803653 9222499 9326317 9966649 11022011 11778767 13920361 15661877 17320303 18509491 21874853 24611521 29086343 29413769 34374769 34761727 41082041 54625571 64557493 101447489 109633139 121242121 129566437 153123971 172280647 203604401 240623383 319949773 378122459 382378997 451902451 710132423 1205964529 1425230807 1684363681 2239648411 2646857213 4159347049 4970926961 15677538877 18528000491 29115429343 203808005401