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443132144213440 = 26511125889813697
BaseRepresentation
bin110010011000001101011111…
…0000010110101110111000000
32011010000000112001002222101211
41210300122332002311313000
5431040234112404312230
64210244032515535504
7162224145426361603
oct14460327602656700
92133000461088354
10443132144213440
11119217317a828a0
1241849b8a5ba594
1316035249818386
147b5d9d2ba033a
153636d3d7a042a
hex19306be0b5dc0

443132144213440 has 56 divisors (see below), whose sum is σ = 1151136456454512. Its totient is φ = 161138961530880.

The previous prime is 443132144213411. The next prime is 443132144213509. The reversal of 443132144213440 is 44312441231344.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 443132144213393 and 443132144213402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62944903329 + ... + 62944910368.

Almost surely, 2443132144213440 is an apocalyptic number.

443132144213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443132144213440 is an abundant number, since it is smaller than the sum of its proper divisors (708004312241072).

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

443132144213440 is a wasteful number, since it uses less digits than its factorization.

443132144213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125889813725 (or 125889813715 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 443132144213440 its reverse (44312441231344), we get a palindrome (487444585444784).

The spelling of 443132144213440 in words is "four hundred forty-three trillion, one hundred thirty-two billion, one hundred forty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 125889813697 251779627394 503559254788 629449068485 1007118509576 1258898136970 1384787950667 2014237019152 2517796273940 2769575901334 4028474038304 5035592547880 5539151802668 6923939753335 8056948076608 10071185095760 11078303605336 13847879506670 20142370191520 22156607210672 27695759013340 40284740383040 44313214421344 55391518026680 88626428842688 110783036053360 221566072106720 443132144213440