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1414034445440 = 2752209428821
BaseRepresentation
bin10100100100111011000…
…001010101010010000000
312000011212111021111022102
4110210323001111102000
5141131420304223230
63001333133325532
7204106043320421
oct24447301252200
95004774244272
101414034445440
114a5763642931
121aa0713368a8
13a345c3b6266
144c6224cb648
1526bb02e9045
hex1493b055480

1414034445440 has 32 divisors (see below), whose sum is σ = 3380426097660. Its totient is φ = 565613777920.

The previous prime is 1414034445359. The next prime is 1414034445449. The reversal of 1414034445440 is 445444304141.

It can be written as a sum of positive squares in 2 ways, for example, as 1275941939776 + 138092505664 = 1129576^2 + 371608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1414034445394 and 1414034445403.

It is not an unprimeable number, because it can be changed into a prime (1414034445449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104713771 + ... + 1104715050.

Almost surely, 21414034445440 is an apocalyptic number.

1414034445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414034445440 is an abundant number, since it is smaller than the sum of its proper divisors (1966391652220).

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

1414034445440 is an equidigital number, since it uses as much as digits as its factorization.

1414034445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209428840 (or 2209428828 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 1414034445440 its reverse (445444304141), we get a palindrome (1859478749581).

The spelling of 1414034445440 in words is "one trillion, four hundred fourteen billion, thirty-four million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2209428821 4418857642 8837715284 11047144105 17675430568 22094288210 35350861136 44188576420 70701722272 88377152840 141403444544 176754305680 282806889088 353508611360 707017222720 1414034445440