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114778128438 = 233171163107507
BaseRepresentation
bin110101011100101001…
…1110100000000110110
3101222021002022001101000
41222321103310000312
53340031200102223
6124421153344130
711202210665031
oct1527123640066
9358232261330
10114778128438
114474a296796
121a2b2b68046
13aa923b423c
1457aba0c018
152ebb824543
hex1ab94f4036

114778128438 has 64 divisors (see below), whose sum is σ = 270300913920. Its totient is φ = 35977527936.

The previous prime is 114778128431. The next prime is 114778128449. The reversal of 114778128438 is 834821877411.

It is a happy number.

114778128438 is a `hidden beast` number, since 1 + 1 + 477 + 8 + 128 + 43 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114778128431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013881 + ... + 1121387.

It is an arithmetic number, because the mean of its divisors is an integer number (4223451780).

Almost surely, 2114778128438 is an apocalyptic number.

114778128438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114778128438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135150456960).

114778128438 is an abundant number, since it is smaller than the sum of its proper divisors (155522785482).

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

114778128438 is a wasteful number, since it uses less digits than its factorization.

114778128438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108698 (or 108692 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 114778128438 in words is "one hundred fourteen billion, seven hundred seventy-eight million, one hundred twenty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1163 2326 3489 6978 10467 19771 20934 31401 39542 59313 62802 107507 118626 177939 215014 322521 355878 533817 645042 967563 1067634 1827619 1935126 2902689 3655238 5482857 5805378 10965714 16448571 32897142 49345713 98691426 125030641 250061282 375091923 750183846 1125275769 2125520897 2250551538 3375827307 4251041794 6376562691 6751654614 12753125382 19129688073 38259376146 57389064219 114778128438