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20531443440 = 2435611402421
BaseRepresentation
bin10011000111110001…
…001111011011110000
31221222212112101121010
4103013301033123300
5314022022142230
613233152030520
71324534250454
oct230761173360
957885471533
1020531443440
118786512382
123b8bb32440
131c2281ba01
14dcab04664
158027459b0
hex4c7c4f6f0

20531443440 has 80 divisors (see below), whose sum is σ = 64690922016. Its totient is φ = 5385292800.

The previous prime is 20531443423. The next prime is 20531443459. The reversal of 20531443440 is 4434413502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20531443398 and 20531443407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 686571 + ... + 715850.

Almost surely, 220531443440 is an apocalyptic number.

20531443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20531443440 is an abundant number, since it is smaller than the sum of its proper divisors (44159478576).

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

20531443440 is a wasteful number, since it uses less digits than its factorization.

20531443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402498 (or 1402492 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20531443440 its reverse (4434413502), we get a palindrome (24965856942).

The spelling of 20531443440 in words is "twenty billion, five hundred thirty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 1402421 2804842 4207263 5609684 7012105 8414526 11219368 14024210 16829052 21036315 22438736 28048420 33658104 42072630 56096840 67316208 84145260 85547681 112193680 168290520 171095362 256643043 336581040 342190724 427738405 513286086 684381448 855476810 1026572172 1283215215 1368762896 1710953620 2053144344 2566430430 3421907240 4106288688 5132860860 6843814480 10265721720 20531443440