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311411161425 = 352721336717761
BaseRepresentation
bin1001000100000011000…
…11010011100101010001
31002202210210001002102110
410202001203103211101
520100232224131200
6355021005535533
731333026124500
oct4420143234521
91082723032373
10311411161425
11110083533821
125042ab745a9
132349aca4c30
1411102880837
1581793b8b50
hex48818d3951

311411161425 has 144 divisors (see below), whose sum is σ = 646791436032. Its totient is φ = 131043225600.

The previous prime is 311411161417. The next prime is 311411161429. The reversal of 311411161425 is 524161114113.

It is not a de Polignac number, because 311411161425 - 23 = 311411161417 is a prime.

It is a super-2 number, since 2×3114111614252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311411161392 and 311411161401.

It is not an unprimeable number, because it can be changed into a prime (311411161429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17524545 + ... + 17542305.

Almost surely, 2311411161425 is an apocalyptic number.

311411161425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311411161425 is an abundant number, since it is smaller than the sum of its proper divisors (335380274607).

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

311411161425 is a wasteful number, since it uses less digits than its factorization.

311411161425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 18156 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

Adding to 311411161425 its reverse (524161114113), we get a palindrome (835572275538).

The spelling of 311411161425 in words is "three hundred eleven billion, four hundred eleven million, one hundred sixty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 367 455 525 637 735 975 1101 1225 1365 1835 1911 2275 2569 3185 3675 4771 5505 6825 7707 9175 9555 12845 14313 15925 17761 17983 23855 27525 33397 38535 47775 53283 53949 64225 71565 88805 89915 100191 119275 124327 166985 192675 230893 233779 266415 269745 357825 372981 444025 449575 500955 621635 692679 701337 834925 870289 1154465 1168895 1332075 1348725 1616251 1864905 2504775 2610867 3108175 3463395 3506685 4351445 4848753 5772325 5844475 6518287 8081255 9324525 11313757 13054335 17316975 17533425 19554861 21757225 24243765 32591435 33941271 40406275 45628009 56568785 65271675 84737731 97774305 121218825 136884027 162957175 169706355 228140045 254213193 282843925 319396063 423688655 488871525 593164117 684420135 848531775 958188189 1140700225 1271065965 1596980315 1779492351 2118443275 2965820585 3422100675 4152148819 4790940945 6355329825 7984901575 8897461755 12456446457 14829102925 20760744095 23954704725 44487308775 62282232285 103803720475 311411161425