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355143420225 = 3252111713164433
BaseRepresentation
bin1010010101100000011…
…00101000100101000001
31020221200120000000111100
411022300030220211001
521304313203421400
6431052312005013
734441533156336
oct5126014504501
91227616000440
10355143420225
11127685225070
12589b4990769
132764a364249
14132909c898d
15938888a100
hex52b0328941

355143420225 has 144 divisors (see below), whose sum is σ = 740368309824. Its totient is φ = 160822272000.

The previous prime is 355143420211. The next prime is 355143420241. The reversal of 355143420225 is 522024341553.

355143420225 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 4 + 3 + 420 + 225 = 666.

It is not a de Polignac number, because 355143420225 - 24 = 355143420209 is a prime.

It is a super-2 number, since 2×3551434202252 (a number of 24 digits) contains 22 as substring.

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 355143420225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5479609 + ... + 5544041.

It is an arithmetic number, because the mean of its divisors is an integer number (5141446596).

Almost surely, 2355143420225 is an apocalyptic number.

It is an amenable number.

355143420225 is an abundant number, since it is smaller than the sum of its proper divisors (385224889599).

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

355143420225 is a wasteful number, since it uses less digits than its factorization.

355143420225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64608 (or 64600 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 355143420225 its reverse (522024341553), we get a palindrome (877167761778).

The spelling of 355143420225 in words is "three hundred fifty-five billion, one hundred forty-three million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 131 153 165 187 225 255 275 393 425 495 561 655 765 825 935 1179 1275 1441 1683 1965 2227 2475 2805 3275 3825 4323 4675 5895 6681 7205 8415 9825 11135 12969 14025 20043 21615 24497 29475 33405 36025 42075 55675 64433 64845 73491 100215 108075 122485 167025 193299 220473 322165 324225 367455 501075 579897 612425 708763 966495 1095361 1102365 1610825 1837275 2126289 2899485 3286083 3543815 4832475 5476805 5511825 6378867 8440723 9858249 10631445 12048971 14497425 16430415 17719075 25322169 27384025 31894335 36146913 42203615 49291245 53157225 60244855 75966507 82152075 92847953 108440739 126610845 143492291 159471675 180734565 211018075 246456225 278543859 301224275 379832535 430476873 464239765 542203695 633054225 717461455 835631577 903672825 1291430619 1392719295 1578415201 1899162675 2152384365 2321198825 2711018475 3587307275 4178157885 4735245603 6457153095 6963596475 7892076005 10761921825 14205736809 20890789425 23676228015 32285765475 39460380025 71028684045 118381140075 355143420225