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13214440200312 = 23321321957157861
BaseRepresentation
bin1100000001001011101000…
…0000111001100001111000
31201210021210001120101122200
43000102322000321201320
53213001133142402222
644034344030150200
72532466101256641
oct300227200714170
951707701511580
1013214440200312
114235237aa213a
121595069352360
1374b168861800
14339821c4a6c8
1517db106e3eac
hexc04ba039878

13214440200312 has 144 divisors (see below), whose sum is σ = 40793566109400. Its totient is φ = 3851982501120.

The previous prime is 13214440200301. The next prime is 13214440200319. The reversal of 13214440200312 is 21300204441231.

13214440200312 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 440 + 200 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214440200319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28347739 + ... + 28810122.

Almost surely, 213214440200312 is an apocalyptic number.

13214440200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13214440200312 is an abundant number, since it is smaller than the sum of its proper divisors (27579125909088).

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

13214440200312 is a wasteful number, since it uses less digits than its factorization.

13214440200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57157918 (or 57157898 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13214440200312 its reverse (21300204441231), we get a palindrome (34514644641543).

The spelling of 13214440200312 in words is "thirteen trillion, two hundred fourteen billion, four hundred forty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 169 171 228 234 247 312 338 342 456 468 494 507 676 684 741 936 988 1014 1352 1368 1482 1521 1976 2028 2223 2964 3042 3211 4056 4446 5928 6084 6422 8892 9633 12168 12844 17784 19266 25688 28899 38532 57798 77064 115596 231192 57157861 114315722 171473583 228631444 342947166 457262888 514420749 685894332 743052193 1028841498 1085999359 1371788664 1486104386 2057682996 2171998718 2229156579 2972208772 3257998077 4115365992 4343997436 4458313158 5944417544 6515996154 6687469737 8687994872 8916626316 9659678509 9773994231 13031992308 13374939474 14117991667 17833252632 19319357018 19547988462 26063984616 26749878948 28235983334 28979035527 38638714036 39095976924 42353975001 53499757896 56471966668 57958071054 77277428072 78191953848 84707950002 86937106581 112943933336 115916142108 127061925003 169415900004 173874213162 183533891671 231832284216 254123850006 338831800008 347748426324 367067783342 508247700012 550601675013 695496852648 734135566684 1016495400024 1101203350026 1468271133368 1651805025039 2202406700052 3303610050078 4404813400104 6607220100156 13214440200312