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24144203113040 = 245481362705701
BaseRepresentation
bin1010111110101100000101…
…01001100110001001010000
310011111011102000202100111102
411133112002221212021100
511131034311444104130
6123203405505203532
75041234601202143
oct537260251461120
9104434360670442
1024144203113040
11776955424588a
12285b3849305a8
131061a3369a09a
145d682b0d205a
152bd0a5a59645
hex15f582a66250

24144203113040 has 40 divisors (see below), whose sum is σ = 56146936393608. Its totient is φ = 9655674508800.

The previous prime is 24144203112941. The next prime is 24144203113117. The reversal of 24144203113040 is 4031130244142.

It can be written as a sum of positive squares in 4 ways, for example, as 5961449625664 + 18182753487376 = 2441608^2 + 4264124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 24144203112994 and 24144203113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30967811 + ... + 31737890.

Almost surely, 224144203113040 is an apocalyptic number.

24144203113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24144203113040 is an abundant number, since it is smaller than the sum of its proper divisors (32002733280568).

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

24144203113040 is a wasteful number, since it uses less digits than its factorization.

24144203113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62710527 (or 62710521 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 24144203113040 its reverse (4031130244142), we get a palindrome (28175333357182).

The spelling of 24144203113040 in words is "twenty-four trillion, one hundred forty-four billion, two hundred three million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4813 9626 19252 24065 38504 48130 77008 96260 192520 385040 62705701 125411402 250822804 313528505 501645608 627057010 1003291216 1254114020 2508228040 5016456080 301802538913 603605077826 1207210155652 1509012694565 2414420311304 3018025389130 4828840622608 6036050778260 12072101556520 24144203113040