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14304604653042 = 2311833894259
BaseRepresentation
bin1101000000101000110011…
…1000010000010111110010
31212122111200111022120222220
43100022030320100113302
53333331312242344132
650231240013541510
73004321303235364
oct320121470202762
955574614276886
1014304604653042
114615604451970
1217303b31a4896
137c9bc2a3ba12
143764bcd5cd34
1519c16796da2c
hexd028ce105f2

14304604653042 has 128 divisors (see below), whose sum is σ = 31953108096000. Its totient is φ = 4233390803840.

The previous prime is 14304604653041. The next prime is 14304604653091. The reversal of 14304604653042 is 24035640640341.

It is a junction number, because it is equal to n+sod(n) for n = 14304604652985 and 14304604653003.

It is not an unprimeable number, because it can be changed into a prime (14304604653041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3358674709 + ... + 3358678967.

It is an arithmetic number, because the mean of its divisors is an integer number (249633657000).

Almost surely, 214304604653042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14304604653042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976554048000).

14304604653042 is an abundant number, since it is smaller than the sum of its proper divisors (17648503442958).

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

14304604653042 is an frugal number, since it uses more digits than its factorization.

14304604653042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 14304604653042 in words is "fourteen trillion, three hundred four billion, six hundred four million, six hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 89 166 178 249 267 498 534 913 979 1826 1958 2739 2937 4259 5478 5874 6889 7387 8518 12777 13778 14774 20667 22161 25554 41334 44322 46849 75779 81257 93698 140547 151558 162514 227337 243771 281094 353497 379051 454674 487542 571787 613121 706994 758102 1060491 1137153 1143574 1226242 1715361 1839363 2120982 2274306 3430722 3678726 3888467 4169561 6289657 6744331 7776934 8339122 11665401 12508683 12579314 13488662 18868971 20232993 23330802 25017366 29340251 31461233 37737942 40465986 50889043 58680502 62922466 88020753 94383699 101778086 152667129 176041506 188767398 305334258 322742761 346073563 559779473 645485522 692147126 968228283 1038220689 1119558946 1679338419 1936456566 2076441378 2435240833 2611282339 3358676838 4870481666 5222564678 7305722499 7833847017 14611444998 15667694034 26787649163 28724105729 53575298326 57448211458 80362947489 86172317187 160725894978 172344634374 216736434137 433472868274 650209302411 1300418604822 2384100775507 4768201551014 7152302326521 14304604653042