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1314430430310 = 233516350359377
BaseRepresentation
bin10011001000001010001…
…010001010110001100110
311122122202220202021012000
4103020022022022301212
5133013423142232220
62443501353510130
7163651545211644
oct23101212126146
94578686667160
101314430430310
114674a0790058
121928b4112346
1396c479406ba
1447893ca8194
15242d0c2d390
hex1320a28ac66

1314430430310 has 128 divisors (see below), whose sum is σ = 3533722536960. Its totient is φ = 347665955328.

The previous prime is 1314430430281. The next prime is 1314430430323. The reversal of 1314430430310 is 130340344131.

1314430430310 is a `hidden beast` number, since 1 + 3 + 1 + 44 + 304 + 3 + 0 + 310 = 666.

It is a super-2 number, since 2×13144304303102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22107342 + ... + 22166718.

It is an arithmetic number, because the mean of its divisors is an integer number (27607207320).

Almost surely, 21314430430310 is an apocalyptic number.

1314430430310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314430430310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766861268480).

1314430430310 is an abundant number, since it is smaller than the sum of its proper divisors (2219292106650).

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

1314430430310 is a wasteful number, since it uses less digits than its factorization.

1314430430310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60059 (or 60053 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1314430430310 its reverse (130340344131), we get a palindrome (1444770774441).

The spelling of 1314430430310 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, four hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 163 270 326 489 503 815 978 1006 1467 1509 1630 2445 2515 2934 3018 4401 4527 4890 5030 7335 7545 8802 9054 13581 14670 15090 22005 22635 27162 44010 45270 59377 67905 81989 118754 135810 163978 178131 245967 296885 356262 409945 491934 534393 593770 737901 819890 890655 1068786 1229835 1475802 1603179 1781310 2213703 2459670 2671965 3206358 3689505 4427406 5343930 7379010 8015895 9678451 11068515 16031790 19356902 22137030 29035353 29866631 48392255 58070706 59733262 87106059 89599893 96784510 145176765 149333155 174212118 179199786 261318177 268799679 290353530 298666310 435530295 447999465 522636354 537599358 806399037 871060590 895998930 1306590885 1343998395 1612798074 2613181770 2687996790 4031995185 4868260853 8063990370 9736521706 14604782559 24341304265 29209565118 43814347677 48682608530 73023912795 87628695354 131443043031 146047825590 219071738385 262886086062 438143476770 657215215155 1314430430310