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114433422000310 = 25726125115252929
BaseRepresentation
bin11010000001001110011011…
…011110000000000010110110
3120000011201122221012101100101
4122001032123132000002312
5104444334122013002220
61043213553251304314
733050353605660100
oct3201163336000266
9500151587171311
10114433422000310
1133509a3a49a716
1210a01b695ab09a
134bb1043a29b6a
142038870144570
15d36a2134130a
hex68139b7800b6

114433422000310 has 96 divisors (see below), whose sum is σ = 244507884556320. Its totient is φ = 38437378560000.

The previous prime is 114433422000283. The next prime is 114433422000329. The reversal of 114433422000310 is 13000224334411.

It is a happy number.

It is a super-2 number, since 2×1144334220003102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124075 + ... + 15128854.

It is an arithmetic number, because the mean of its divisors is an integer number (2546957130795).

Almost surely, 2114433422000310 is an apocalyptic number.

114433422000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114433422000310 is an abundant number, since it is smaller than the sum of its proper divisors (130074462556010).

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

114433422000310 is a wasteful number, since it uses less digits than its factorization.

114433422000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15253262 (or 15253255 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 114433422000310 its reverse (13000224334411), we get a palindrome (127433646334721).

The spelling of 114433422000310 in words is "one hundred fourteen trillion, four hundred thirty-three billion, four hundred twenty-two million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 251 305 427 490 502 610 854 1255 1757 2135 2510 2989 3514 4270 5978 8785 12299 14945 15311 17570 24598 29890 30622 61495 76555 107177 122990 153110 214354 535885 750239 1071770 1500478 3751195 7502390 15252929 30505858 76264645 106770503 152529290 213541006 533852515 747393521 930428669 1067705030 1494787042 1860857338 3736967605 3828485179 4652143345 6513000683 7473935210 7656970358 9304286690 13026001366 19142425895 26799396253 32565003415 38284851790 45591004781 53598792506 65130006830 91182009562 133996981265 187595773771 227955023905 233537595919 267993962530 375191547542 455910047810 467075191838 937978868855 1167687979595 1634763171433 1875957737710 2335375959190 3269526342866 8173815857165 11443342200031 16347631714330 22886684400062 57216711000155 114433422000310