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11454325450434 = 23441243978179
BaseRepresentation
bin1010011010101110101011…
…1111111110011011000010
31111120000121122010212110000
42212223222333332123002
53000131424303403214
640210013334420430
72261355601612626
oct246535277763302
944500548125400
1011454325450434
113716830115289
12134bb12501716
136511a4992829
142b856c6d9186
1514ce47557809
hexa6aeaffe6c2

11454325450434 has 120 divisors (see below), whose sum is σ = 26919274924080. Its totient is φ = 3638352634560.

The previous prime is 11454325450429. The next prime is 11454325450453. The reversal of 11454325450434 is 43405452345411.

11454325450434 is a `hidden beast` number, since 1 + 1 + 4 + 543 + 2 + 54 + 50 + 4 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11454325450434.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11220757 + ... + 12198935.

It is an arithmetic number, because the mean of its divisors is an integer number (224327291034).

Almost surely, 211454325450434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454325450434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459637462040).

11454325450434 is an abundant number, since it is smaller than the sum of its proper divisors (15464949473646).

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

11454325450434 is an equidigital number, since it uses as much as digits as its factorization.

11454325450434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978318 (or 978268 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 11454325450434 its reverse (43405452345411), we get a palindrome (54859777795845).

The spelling of 11454325450434 in words is "eleven trillion, four hundred fifty-four billion, three hundred twenty-five million, four hundred fifty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 43 54 81 82 86 123 129 162 246 258 369 387 738 774 1107 1161 1681 1763 2214 2322 3321 3362 3483 3526 5043 5289 6642 6966 10086 10578 15129 15867 30258 31734 45387 47601 72283 90774 95202 136161 142803 144566 216849 272322 285606 433698 650547 978179 1301094 1951641 1956358 2934537 3903282 5854923 5869074 8803611 11709846 17607222 26410833 40105339 42061697 52821666 79232499 80210678 84123394 120316017 126185091 158464998 240632034 252370182 360948051 378555273 721896102 757110546 1082844153 1135665819 1644318899 1724529577 2165688306 2271331638 3248532459 3288637798 3406997457 3449059154 4932956697 5173588731 6497064918 6813994914 9865913394 10347177462 14798870091 15520766193 29597740182 31041532386 44396610273 46562298579 70705712657 88793220546 93124597158 133189830819 139686895737 141411425314 212117137971 266379661638 279373791474 424234275942 636351413913 1272702827826 1909054241739 3818108483478 5727162725217 11454325450434