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114551440 = 2451784229
BaseRepresentation
bin1101101001111…
…10101010010000
321222112211000221
412310332222100
5213311121230
615211122424
72560446133
oct664765220
9258484027
10114551440
1159730213
1232443414
131a969c23
14112dc21a
15a0cb27a
hex6d3ea90

114551440 has 40 divisors (see below), whose sum is σ = 282002040. Its totient is φ = 43124736.

The previous prime is 114551419. The next prime is 114551447. The reversal of 114551440 is 44155411.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 109746576 = 2192^2 + 10476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114551447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40755 + ... + 43474.

It is an arithmetic number, because the mean of its divisors is an integer number (7050051).

Almost surely, 2114551440 is an apocalyptic number.

114551440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114551440 is an abundant number, since it is smaller than the sum of its proper divisors (167450600).

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

114551440 is a wasteful number, since it uses less digits than its factorization.

114551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84259 (or 84253 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 114551440 is about 10702.8706429630. The cubic root of 114551440 is about 485.6613219560.

The spelling of 114551440 in words is "one hundred fourteen million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 84229 168458 336916 421145 673832 842290 1347664 1431893 1684580 2863786 3369160 5727572 6738320 7159465 11455144 14318930 22910288 28637860 57275720 114551440