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2024141414440 = 235891135031673
BaseRepresentation
bin11101011101001000001…
…110101110000000101000
321011111122220011202210211
4131131020032232000220
5231130420200230230
64145513331150504
7266145053066365
oct35351016560050
97144586152724
102024141414440
11710485071872
12288360a45434
13118b4cc447a2
146dd7cbbb46c
15379bc60442a
hex1d7483ae028

2024141414440 has 64 divisors (see below), whose sum is σ = 4646247771600. Its totient is φ = 793474547712.

The previous prime is 2024141414423. The next prime is 2024141414443. The reversal of 2024141414440 is 444141414202.

It can be written as a sum of positive squares in 8 ways, for example, as 8496783684 + 2015644630756 = 92178^2 + 1419734^2 .

It is not an unprimeable number, because it can be changed into a prime (2024141414443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113557 + ... + 2918116.

Almost surely, 22024141414440 is an apocalyptic number.

2024141414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024141414440 is an abundant number, since it is smaller than the sum of its proper divisors (2622106357160).

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

2024141414440 is a wasteful number, since it uses less digits than its factorization.

2024141414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031886 (or 5031882 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 2024141414440 its reverse (444141414202), we get a palindrome (2468282828642).

The spelling of 2024141414440 in words is "two trillion, twenty-four billion, one hundred forty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 113 178 226 356 445 452 565 712 890 904 1130 1780 2260 3560 4520 10057 20114 40228 50285 80456 100570 201140 402280 5031673 10063346 20126692 25158365 40253384 50316730 100633460 201266920 447818897 568579049 895637794 1137158098 1791275588 2239094485 2274316196 2842895245 3582551176 4478188970 4548632392 5685790490 8956377940 11371580980 17912755880 22743161960 50603535361 101207070722 202414141444 253017676805 404828282888 506035353610 1012070707220 2024141414440