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128439338112 = 2732105592
BaseRepresentation
bin111011110011110010…
…1001100010010000000
3110021112011021101222200
41313213211030102000
54101020432304422
6135000524433200
712164563234461
oct1674745142200
9407464241880
10128439338112
114a51a726818
1220a860a8800
13c15b763267
1463060d4d68
15351ad352ac
hex1de794c480

128439338112 has 72 divisors (see below), whose sum is σ = 369632580915. Its totient is φ = 42809058048.

The previous prime is 128439338107. The next prime is 128439338119. The reversal of 128439338112 is 211833934821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

128439338112 is a `hidden beast` number, since 1 + 284 + 39 + 338 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64219669056 + 64219669056 = 253416^2 + 253416^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=253416.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128439338119) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 12158689 + ... + 12169247.

Almost surely, 2128439338112 is an apocalyptic number.

128439338112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128439338112 is an abundant number, since it is smaller than the sum of its proper divisors (241193242803).

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

128439338112 is an frugal number, since it uses more digits than its factorization.

128439338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21138 (or 10564 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 128439338112 in words is "one hundred twenty-eight billion, four hundred thirty-nine million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10559 21118 31677 42236 63354 84472 95031 126708 168944 190062 253416 337888 380124 506832 675776 760248 1013664 1351552 1520496 2027328 3040992 4054656 6081984 12163968 111492481 222984962 334477443 445969924 668954886 891939848 1003432329 1337909772 1783879696 2006864658 2675819544 3567759392 4013729316 5351639088 7135518784 8027458632 10703278176 14271037568 16054917264 21406556352 32109834528 42813112704 64219669056 128439338112