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20241454554144 = 25321924115348947
BaseRepresentation
bin1001001101000110101001…
…01101010101110000100000
32122200001201202210201211100
410212203110231111300200
510123113444331213034
6111014443523114400
74156253053615215
oct446432455256040
978601652721740
1020241454554144
1164a439744733a
12232ab1a212a00
13b3a9b7b25195
144dd997b7db0c
152517d7861099
hex1268d4b55c20

20241454554144 has 144 divisors (see below), whose sum is σ = 60842615914080. Its totient is φ = 6365514885120.

The previous prime is 20241454554143. The next prime is 20241454554199. The reversal of 20241454554144 is 44145545414202.

20241454554144 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 1 + 4 + 54 + 554 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 20241454554144.

It is not an unprimeable number, because it can be changed into a prime (20241454554143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355722 + ... + 8993225.

It is an arithmetic number, because the mean of its divisors is an integer number (422518166070).

Almost surely, 220241454554144 is an apocalyptic number.

20241454554144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20241454554144 is an abundant number, since it is smaller than the sum of its proper divisors (40601161359936).

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

20241454554144 is a wasteful number, since it uses less digits than its factorization.

20241454554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15349223 (or 15349212 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 20241454554144 its reverse (44145545414202), we get a palindrome (64386999968346).

The spelling of 20241454554144 in words is "twenty trillion, two hundred forty-one billion, four hundred fifty-four million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 241 288 304 342 456 482 608 684 723 912 964 1368 1446 1824 1928 2169 2736 2892 3856 4338 4579 5472 5784 7712 8676 9158 11568 13737 17352 18316 23136 27474 34704 36632 41211 54948 69408 73264 82422 109896 146528 164844 219792 329688 439584 659376 1318752 15348947 30697894 46046841 61395788 92093682 122791576 138140523 184187364 245583152 276281046 291629993 368374728 491166304 552562092 583259986 736749456 874889979 1105124184 1166519972 1473498912 1749779958 2210248368 2333039944 2624669937 3499559916 3699096227 4420496736 4666079888 5249339874 6999119832 7398192454 9332159776 10498679748 11097288681 13998239664 14796384908 20997359496 22194577362 27996479328 29592769816 33291866043 41994718992 44389154724 59185539632 66583732086 70282828313 83989437984 88778309448 118371079264 133167464172 140565656626 177556618896 210848484939 266334928344 281131313252 355113237792 421696969878 532669856688 562262626504 632545454817 843393939756 1065339713376 1124525253008 1265090909634 1686787879512 2249050506016 2530181819268 3373575759024 5060363638536 6747151518048 10120727277072 20241454554144