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114031542330512 = 24296011678724359
BaseRepresentation
bin11001111011011000001001…
…100100101110010010010000
3112221202022100020200220010122
4121323120021210232102100
5104421243044314034022
61042305211203245412
733006335631102152
oct3173301144562220
9487668306626118
10114031542330512
1133374561938604
12109580b0979868
134b82188b55791
14202322848aad2
15d2b34e903742
hex67b60992e490

114031542330512 has 80 divisors (see below), whose sum is σ = 228957927004800. Its totient is φ = 54952583347200.

The previous prime is 114031542330403. The next prime is 114031542330527. The reversal of 114031542330512 is 215033245130411.

It is a super-3 number, since 3×1140315423305123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4681277789 + ... + 4681302147.

It is an arithmetic number, because the mean of its divisors is an integer number (2861974087560).

Almost surely, 2114031542330512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114031542330512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114478963502400).

114031542330512 is an abundant number, since it is smaller than the sum of its proper divisors (114926384674288).

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

114031542330512 is a wasteful number, since it uses less digits than its factorization.

114031542330512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41784 (or 41778 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 114031542330512 its reverse (215033245130411), we get a palindrome (329064787460923).

The spelling of 114031542330512 in words is "one hundred fourteen trillion, thirty-one billion, five hundred forty-two million, three hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 601 1202 2404 4808 9616 16787 17429 24359 33574 34858 48718 67148 69716 97436 134296 139432 194872 268592 278864 389744 486823 706411 973646 1412822 1947292 2825644 3894584 5651288 7789168 10088987 11302576 14639759 20177974 29279518 40355948 58559036 80711896 117118072 161423792 234236144 292580623 408914533 424553011 585161246 817829066 849106022 1170322492 1635658132 1698212044 2340644984 3271316264 3396424088 4681289968 6542632528 6792848176 11858521457 23717042914 47434085828 94868171656 189736343312 245757634333 491515268666 983030537332 1966061074664 3932122149328 7126971395657 14253942791314 28507885582628 57015771165256 114031542330512