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1414120440 = 233591912823
BaseRepresentation
bin101010001001001…
…1100001111111000
310122112220202120010
41110102130033320
510344003323230
6352153301520
750020553055
oct12422341770
93575822503
101414120440
11666263687
123357048a0
13196c83975
14d5b4a02c
15842339b0
hex5449c3f8

1414120440 has 64 divisors (see below), whose sum is σ = 4247308800. Its totient is φ = 376659072.

The previous prime is 1414120399. The next prime is 1414120447. The reversal of 1414120440 is 440214141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414120447) 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, 103869 + ... + 116691.

It is an arithmetic number, because the mean of its divisors is an integer number (66364200).

Almost surely, 21414120440 is an apocalyptic number.

1414120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414120440 is an abundant number, since it is smaller than the sum of its proper divisors (2833188360).

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

1414120440 is a wasteful number, since it uses less digits than its factorization.

1414120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1414120440 is about 37604.7927796445. The cubic root of 1414120440 is about 1122.4374106764.

Adding to 1414120440 its reverse (440214141), we get a palindrome (1854334581).

The spelling of 1414120440 in words is "one billion, four hundred fourteen million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 919 1838 2757 3676 4595 5514 7352 9190 11028 12823 13785 18380 22056 25646 27570 36760 38469 51292 55140 64115 76938 102584 110280 128230 153876 192345 256460 307752 384690 512920 769380 1538760 11784337 23568674 35353011 47137348 58921685 70706022 94274696 117843370 141412044 176765055 235686740 282824088 353530110 471373480 707060220 1414120440