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14414315003220 = 22351147464678111
BaseRepresentation
bin1101000111000001100000…
…1000000001110101010100
31220000222212101200211111210
43101300120020001311110
53342131004120100340
650353502255301420
73015254106644616
oct321603010016524
956028771624453
1014414315003220
114658093047860
121749710b1a870
13807358222ba2
1437b9298a4db6
1519ee393ee180
hexd1c18201d54

14414315003220 has 96 divisors (see below), whose sum is σ = 44965971542016. Its totient is φ = 3420030889600.

The previous prime is 14414315003213. The next prime is 14414315003227. The reversal of 14414315003220 is 2230051341441.

It is an interprime number because it is at equal distance from previous prime (14414315003213) and next prime (14414315003227).

It is a super-2 number, since 2×144143150032202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414315003227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232308036 + ... + 232370075.

It is an arithmetic number, because the mean of its divisors is an integer number (468395536896).

Almost surely, 214414315003220 is an apocalyptic number.

14414315003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14414315003220 is an abundant number, since it is smaller than the sum of its proper divisors (30551656538796).

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

14414315003220 is a wasteful number, since it uses less digits than its factorization.

14414315003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464678181 (or 464678179 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14414315003220 its reverse (2230051341441), we get a palindrome (16644366344661).

The spelling of 14414315003220 in words is "fourteen trillion, four hundred fourteen billion, three hundred fifteen million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 464678111 929356222 1394034333 1858712444 2323390555 2788068666 4646781110 5111459221 5576137332 6970171665 9293562220 10222918442 13940343330 15334377663 20445836884 21839871217 25557296105 27880686660 30668755326 43679742434 51114592210 61337510652 65519613651 76671888315 87359484868 102229184420 109199356085 131039227302 153343776630 218398712170 240238583387 262078454604 306687553260 327598068255 436797424340 480477166774 655196136510 720715750161 960954333548 1201192916935 1310392273020 1441431500322 2402385833870 2882863000644 3603578750805 4804771667740 7207157501610 14414315003220