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114435145104 = 2437834103383
BaseRepresentation
bin110101010010011011…
…1011011110110010000
3101221101011220200200120
41222210313123312100
53333330344120404
6124323142150240
711160544453440
oct1524467336620
9357334820616
10114435145104
1144593724295
121a218122380
13aa39316a17
14577824a120
152e9b6749d9
hex1aa4ddbd90

114435145104 has 80 divisors (see below), whose sum is σ = 341926781952. Its totient is φ = 32301823104.

The previous prime is 114435145103. The next prime is 114435145117. The reversal of 114435145104 is 401541534411.

It is not an unprimeable number, because it can be changed into a prime (114435145103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023804 + ... + 2079579.

Almost surely, 2114435145104 is an apocalyptic number.

114435145104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114435145104 is an abundant number, since it is smaller than the sum of its proper divisors (227491636848).

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

114435145104 is a wasteful number, since it uses less digits than its factorization.

114435145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103484 (or 4103478 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 114435145104 its reverse (401541534411), we get a palindrome (515976679515).

The spelling of 114435145104 in words is "one hundred fourteen billion, four hundred thirty-five million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6972 9296 13944 27888 4103383 8206766 12310149 16413532 24620298 28723681 32827064 49240596 57447362 65654128 86171043 98481192 114894724 172342086 196962384 229789448 340580789 344684172 459578896 681161578 689368344 1021742367 1362323156 1378736688 2043484734 2384065523 2724646312 4086969468 4768131046 5449292624 7152196569 8173938936 9536262092 14304393138 16347877872 19072524184 28608786276 38145048368 57217572552 114435145104