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243353114144 = 2576718618713
BaseRepresentation
bin1110001010100011111…
…0011101011000100000
3212021010200211001212122
43202220332131120200
512441341344123034
6303443405443412
723403342224540
oct3425076353040
9767120731778
10243353114144
1194229541558
123b1b6570568
1319c42c8c73a
14bac7b33320
1564e450162e
hex38a8f9d620

243353114144 has 96 divisors (see below), whose sum is σ = 556079239296. Its totient is φ = 102670571520.

The previous prime is 243353114129. The next prime is 243353114153. The reversal of 243353114144 is 441411353342.

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, 27925532 + ... + 27934244.

It is an arithmetic number, because the mean of its divisors is an integer number (5792492076).

Almost surely, 2243353114144 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 243353114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278039619648).

243353114144 is an abundant number, since it is smaller than the sum of its proper divisors (312726125152).

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

243353114144 is a wasteful number, since it uses less digits than its factorization.

243353114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10650 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

Adding to 243353114144 its reverse (441411353342), we get a palindrome (684764467486).

The spelling of 243353114144 in words is "two hundred forty-three billion, three hundred fifty-three million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1861 1876 2144 3722 3752 7444 7504 8713 13027 14888 15008 17426 26054 29776 34852 52108 59552 60991 69704 104216 121982 124687 139408 208432 243964 249374 278816 416864 487928 498748 583771 872809 975856 997496 1167542 1745618 1951712 1994992 2335084 3491236 3989984 4086397 4670168 6982472 8172794 9340336 13964944 16214893 16345588 18680672 27929888 32429786 32691176 64859572 65382352 113504251 129719144 130764704 227008502 259438288 454017004 518876576 908034008 1086397831 1816068016 2172795662 3632136032 4345591324 7604784817 8691182648 15209569634 17382365296 30419139268 34764730592 60838278536 121676557072 243353114144