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115428984444 = 22334181132143
BaseRepresentation
bin110101110000000011…
…0101000011001111100
3102000221102222221222000
41223200012220121330
53342344310000234
6125005523422300
711224303115304
oct1534006503174
9360842887860
10115428984444
1144a5371a514
121a454b24990
13ab671a7a37
145830232604
153008a3a899
hex1ae01a867c

115428984444 has 96 divisors (see below), whose sum is σ = 306946913280. Its totient is φ = 37490428800.

The previous prime is 115428984439. The next prime is 115428984487. The reversal of 115428984444 is 444489824511.

It is a happy number.

115428984444 is a `hidden beast` number, since 1 + 1 + 5 + 42 + 89 + 84 + 444 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3575037 + ... + 3607179.

It is an arithmetic number, because the mean of its divisors is an integer number (3197363680).

Almost surely, 2115428984444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115428984444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153473456640).

115428984444 is an abundant number, since it is smaller than the sum of its proper divisors (191517928836).

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

115428984444 is a wasteful number, since it uses less digits than its factorization.

115428984444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33008 (or 33000 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 115428984444 in words is "one hundred fifteen billion, four hundred twenty-eight million, nine hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 811 1107 1476 1622 2214 2433 3244 4428 4866 7299 9732 14598 21897 29196 32143 33251 43794 64286 66502 87588 96429 99753 128572 133004 192858 199506 289287 299259 385716 399012 578574 598518 867861 897777 1157148 1197036 1317863 1735722 1795554 2635726 3471444 3591108 3953589 5271452 7907178 11860767 15814356 23721534 26067973 35582301 47443068 52135946 71164602 78203919 104271892 142329204 156407838 234611757 312815676 469223514 703835271 938447028 1068786893 1407670542 2137573786 2815341084 3206360679 4275147572 6412721358 9619082037 12825442716 19238164074 28857246111 38476328148 57714492222 115428984444