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285614356041 = 34721724992
BaseRepresentation
bin1000010011111111111…
…00010011011001001001
31000022012221210121010000
410021333330103121021
514134414233343131
6335113122513213
726430534653400
oct4117774233111
91008187717100
10285614356041
11100145949053
124742b805809
1320c19666951
14db76760637
1576697a0ce6
hex427ff13649

285614356041 has 135 divisors (see below), whose sum is σ = 528288177879. Its totient is φ = 153299889792.

The previous prime is 285614356031. The next prime is 285614356043. The reversal of 285614356041 is 140653416582.

The square root of 285614356041 is 534429.

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

285614356041 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 1 + 4 + 35 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222364118025 + 63250238016 = 471555^2 + 251496^2 .

It is not a de Polignac number, because 285614356041 - 215 = 285614323273 is a prime.

It is a super-2 number, since 2×2856143560412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (285614356043) 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, 572373210 + ... + 572373708.

Almost surely, 2285614356041 is an apocalyptic number.

285614356041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

285614356041 is the 534429-th square number.

285614356041 is the 267215-th centered octagonal number.

It is an amenable number.

285614356041 is a deficient number, since it is larger than the sum of its proper divisors (242673821838).

285614356041 is an frugal number, since it uses more digits than its factorization.

285614356041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 285614356041 in words is "two hundred eighty-five billion, six hundred fourteen million, three hundred fifty-six thousand, forty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 289 357 441 459 499 567 833 867 1071 1323 1377 1497 2023 2499 2601 3213 3493 3969 4491 6069 7497 7803 8483 9639 10479 13473 14161 18207 22491 23409 24451 25449 31437 40419 42483 54621 59381 67473 73353 76347 94311 127449 144211 163863 178143 220059 229041 249001 282933 382347 415667 432633 534429 660177 687123 747003 1009477 1147041 1247001 1297899 1603287 1743007 1980531 2241009 3028431 3741003 3893697 4233017 4809861 5229021 6723027 7066339 9085293 11223009 11681091 12201049 12699051 15687063 20169081 21199017 27255879 29631119 33669027 36603147 38097153 47061189 63597051 71961289 81767637 88893357 109809441 114291459 141183567 190791153 207417833 215883867 266680071 329428323 342874377 503729023 572373459 622253499 647651601 800040213 988284969 1511187069 1866760497 1942954803 2400120639 3526103161 4533561207 5600281491 5828864409 10578309483 13600683621 16800844473 31734928449 40802050863 95204785347 285614356041