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128191287040 = 285239341851
BaseRepresentation
bin111011101100011001…
…0111100111100000000
3110020212212112002212221
41313120302330330000
54100013432141130
6134520144100424
712155461650505
oct1673062747400
9406785462787
10128191287040
114a402704333
1220a17004714
13c11c25398b
1462c11a54ac
15350418887a
hex1dd8cbcf00

128191287040 has 72 divisors (see below), whose sum is σ = 307193847408. Its totient is φ = 51253862400.

The previous prime is 128191287019. The next prime is 128191287043. The reversal of 128191287040 is 40782191821.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128191287043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3042115 + ... + 3083965.

It is an arithmetic number, because the mean of its divisors is an integer number (4266581214).

Almost surely, 2128191287040 is an apocalyptic number.

128191287040 is a gapful number since it is divisible by the number (10) 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 128191287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153596923704).

128191287040 is an abundant number, since it is smaller than the sum of its proper divisors (179002560368).

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

128191287040 is an equidigital number, since it uses as much as digits as its factorization.

128191287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44265 (or 44251 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 128191287040 in words is "one hundred twenty-eight billion, one hundred ninety-one million, two hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2393 4786 9572 11965 19144 23930 38288 41851 47860 76576 83702 95720 153152 167404 191440 209255 306304 334808 382880 418510 612608 669616 765760 837020 1339232 1531520 1674040 2678464 3063040 3348080 5356928 6696160 10713856 13392320 26784640 53569280 100149443 200298886 400597772 500747215 801195544 1001494430 1602391088 2002988860 3204782176 4005977720 6409564352 8011955440 12819128704 16023910880 25638257408 32047821760 64095643520 128191287040