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114304302200214 = 236791912186851
BaseRepresentation
bin11001111111010110001011…
…010101000011010110010110
3112222201101101100111221000000
4121333112023111003112112
5104440230202330401324
61043034401014032130
733035133110534160
oct3177261325032626
9488641340457000
10114304302200214
113346a200759825
12109a0b33648646
134ba1b07308599
14203250191d930
15d334b58e79c9
hex67f58b543596

114304302200214 has 112 divisors (see below), whose sum is σ = 294110661530880. Its totient is φ = 32622832522800.

The previous prime is 114304302200213. The next prime is 114304302200299. The reversal of 114304302200214 is 412002203403411.

114304302200214 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 430 + 2 + 200 + 21 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304302200213) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3285889 + ... + 15472739.

Almost surely, 2114304302200214 is an apocalyptic number.

114304302200214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114304302200214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147055330765440).

114304302200214 is an abundant number, since it is smaller than the sum of its proper divisors (179806359330666).

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

114304302200214 is an equidigital number, since it uses as much as digits as its factorization.

114304302200214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187797 (or 12187782 counting only the distinct ones).

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

Adding to 114304302200214 its reverse (412002203403411), we get a palindrome (526306505603625).

The spelling of 114304302200214 in words is "one hundred fourteen trillion, three hundred four billion, three hundred two million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 919 1134 1458 1701 1838 2757 3402 5103 5514 6433 8271 10206 12866 16542 19299 24813 38598 49626 57897 74439 115794 148878 173691 223317 347382 446634 521073 669951 1042146 1339902 1563219 3126438 4689657 9379314 12186851 24373702 36560553 73121106 85307957 109681659 170615914 219363318 255923871 329044977 511847742 658089954 767771613 987134931 1535543226 1974269862 2303314839 2961404793 4606629678 5922809586 6909944517 8884214379 11199716069 13819889034 17768428758 20729833551 22399432138 33599148207 41459667102 62189500653 67198296414 78398012483 100797444621 124379001306 156796024966 201594889242 235194037449 302392333863 470388074898 604784667726 705582112347 907177001589 1411164224694 1814354003178 2116746337041 2721531004767 4233492674082 5443062009534 6350239011123 8164593014301 12700478022246 16329186028602 19050717033369 38101434066738 57152151100107 114304302200214