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114754054480 = 24513110340437
BaseRepresentation
bin110101011011111011…
…1111110100101010000
3101222012101222222002221
41222313313332211100
53340004014220410
6124414533350424
711201466240412
oct1526767764520
9358171888087
10114754054480
114473774365a
121a2a6a98414
13aa8a4056b0
1457a87429b2
152eb966b4da
hex1ab7dfe950

114754054480 has 40 divisors (see below), whose sum is σ = 287326500552. Its totient is φ = 42370727424.

The previous prime is 114754054439. The next prime is 114754054487. The reversal of 114754054480 is 84450457411.

It can be written as a sum of positive squares in 4 ways, for example, as 8657930304 + 106096124176 = 93048^2 + 325724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114754054487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55169179 + ... + 55171258.

Almost surely, 2114754054480 is an apocalyptic number.

114754054480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114754054480 is an abundant number, since it is smaller than the sum of its proper divisors (172572446072).

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

114754054480 is a wasteful number, since it uses less digits than its factorization.

114754054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110340463 (or 110340457 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 114754054480 in words is "one hundred fourteen billion, seven hundred fifty-four million, fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 110340437 220680874 441361748 551702185 882723496 1103404370 1434425681 1765446992 2206808740 2868851362 4413617480 5737702724 7172128405 8827234960 11475405448 14344256810 22950810896 28688513620 57377027240 114754054480