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114300404088 = 23313232598647
BaseRepresentation
bin110101001110011010…
…1011100000101111000
3101221000210101010202120
41222130311130011320
53333041400412323
6124301530201240
711154320255463
oct1523465340570
9357023333676
10114300404088
1144524664382
121a19ab83220
13aa1742b300
1457643b42da
152e8e90b5e3
hex1a9cd5c178

114300404088 has 96 divisors (see below), whose sum is σ = 309553430400. Its totient is φ = 35154497664.

The previous prime is 114300404087. The next prime is 114300404129. The reversal of 114300404088 is 880404003411.

It is a super-2 number, since 2×1143004040882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300404087) 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 23 ways as a sum of consecutive naturals, for example, 13214181 + ... + 13222827.

It is an arithmetic number, because the mean of its divisors is an integer number (3224514900).

Almost surely, 2114300404088 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 114300404088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154776715200).

114300404088 is an abundant number, since it is smaller than the sum of its proper divisors (195253026312).

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

114300404088 is a wasteful number, since it uses less digits than its factorization.

114300404088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 114300404088 its reverse (880404003411), we get a palindrome (994704407499).

The spelling of 114300404088 in words is "one hundred fourteen billion, three hundred million, four hundred four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 3259 4056 6518 8647 9777 13036 17294 19554 25941 26072 34588 39108 42367 51882 69176 78216 84734 103764 112411 127101 169468 207528 224822 254202 337233 338936 449644 508404 550771 674466 899288 1016808 1101542 1348932 1461343 1652313 2203084 2697864 2922686 3304626 4384029 4406168 5845372 6609252 8768058 11690744 13218504 17536116 28180573 35072232 56361146 84541719 112722292 169083438 225444584 338166876 366347449 676333752 732694898 1099042347 1465389796 2198084694 2930779592 4396169388 4762516837 8792338776 9525033674 14287550511 19050067348 28575101022 38100134696 57150202044 114300404088