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2024204342304 = 25323792146893
BaseRepresentation
bin11101011101001011111…
…110110001010000100000
321011111211021120211121110
4131131023332301100200
5231131032302423204
64145523500023320
7266146446006504
oct35351376612040
97144737524543
102024204342304
11710507642471
12288379b31b40
13118b5cca8301
146dd872bc304
15379c2dd4889
hex1d74bfb1420

2024204342304 has 144 divisors (see below), whose sum is σ = 5615670658752. Its totient is φ = 637224546816.

The previous prime is 2024204342243. The next prime is 2024204342341. The reversal of 2024204342304 is 4032434024202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13706682 + ... + 13853574.

It is an arithmetic number, because the mean of its divisors is an integer number (38997712908).

Almost surely, 22024204342304 is an apocalyptic number.

2024204342304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024204342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807835329376).

2024204342304 is an abundant number, since it is smaller than the sum of its proper divisors (3591466316448).

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

2024204342304 is a wasteful number, since it uses less digits than its factorization.

2024204342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147087 (or 147000 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2024204342304 its reverse (4032434024202), we get a palindrome (6056638366506).

The spelling of 2024204342304 in words is "two trillion, twenty-four billion, two hundred four million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 368 474 552 632 736 948 1104 1264 1817 1896 2208 2528 3634 3792 5451 6241 7268 7584 10902 12482 14536 18723 21804 24964 29072 37446 43608 49928 58144 74892 87216 99856 143543 146893 149784 174432 199712 287086 293786 299568 430629 440679 574172 587572 599136 861258 881358 1148344 1175144 1722516 1762716 2296688 2350288 3378539 3445032 3525432 4593376 4700576 6757078 6890064 7050864 10135617 11604547 13514156 13780128 14101728 20271234 23209094 27028312 34813641 40542468 46418188 54056624 69627282 81084936 92836376 108113248 139254564 162169872 185672752 266904581 278509128 324339744 371345504 533809162 557018256 800713743 916759213 1067618324 1114036512 1601427486 1833518426 2135236648 2750277639 3202854972 3667036852 4270473296 5500555278 6405709944 7334073704 8540946592 11001110556 12811419888 14668147408 21085461899 22002221112 25622839776 29336294816 42170923798 44004442224 63256385697 84341847596 88008884448 126512771394 168683695192 253025542788 337367390384 506051085576 674734780768 1012102171152 2024204342304