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14223213034452 = 223219315312656221
BaseRepresentation
bin1100111011111001100110…
…0011110111101111010100
31212100201121011121222011200
43032332121203313233110
53331013120014100302
650130015345032500
72665410323006622
oct316763143675724
955321534558150
1014223213034452
114594037a61184
121718679325730
137c2321501366
1437259b454512
15199ea221381c
hexcef998f7bd4

14223213034452 has 144 divisors (see below), whose sum is σ = 39803311941120. Its totient is φ = 4264639891200.

The previous prime is 14223213034451. The next prime is 14223213034453. The reversal of 14223213034452 is 25443031232241.

14223213034452 is a `hidden beast` number, since 1 + 4 + 2 + 232 + 1 + 30 + 344 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (14223213034451) and next prime (14223213034453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14223213034451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5204299 + ... + 7451922.

It is an arithmetic number, because the mean of its divisors is an integer number (276411888480).

Almost surely, 214223213034452 is an apocalyptic number.

14223213034452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14223213034452 is an abundant number, since it is smaller than the sum of its proper divisors (25580098906668).

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

14223213034452 is a wasteful number, since it uses less digits than its factorization.

14223213034452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656334 (or 12656329 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 14223213034452 its reverse (25443031232241), we get a palindrome (39666244266693).

The spelling of 14223213034452 in words is "fourteen trillion, two hundred twenty-three billion, two hundred thirteen million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 53 57 62 76 93 106 114 124 159 171 186 212 228 279 318 342 372 477 558 589 636 684 954 1007 1116 1178 1643 1767 1908 2014 2356 3021 3286 3534 4028 4929 5301 6042 6572 7068 9063 9858 10602 12084 14787 18126 19716 21204 29574 31217 36252 59148 62434 93651 124868 187302 280953 374604 561906 1123812 12656221 25312442 37968663 50624884 75937326 113905989 151874652 227811978 240468199 392342851 455623956 480936398 670779713 721404597 784685702 961872796 1177028553 1341559426 1442809194 1569371404 2012339139 2164213791 2354057106 2683118852 2885618388 3531085659 4024678278 4328427582 4708114212 6037017417 7062171318 7454514169 8049356556 8656855164 12074034834 12744814547 14124342636 14909028338 20794171103 22363542507 24148069668 25489629094 29818056676 38234443641 41588342206 44727085014 50979258188 62382513309 67090627521 76468887282 83176684412 89454170028 114703330923 124765026618 134181255042 152937774564 187147539927 229406661846 249530053236 268362510084 374295079854 395089250957 458813323692 748590159708 790178501914 1185267752871 1580357003828 2370535505742 3555803258613 4741071011484 7111606517226 14223213034452