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1234314404240 = 245109141549817
BaseRepresentation
bin10001111101100010110…
…111110010000110010000
311100222222111022110100012
4101331202313302012100
5130210333441413430
62343011453214052
7155114314216631
oct21754267620620
94328874273305
101234314404240
11436519336965
1217b275491328
138c51a773708
1443a53969888
1522192491695
hex11f62df2190

1234314404240 has 40 divisors (see below), whose sum is σ = 2896109276280. Its totient is φ = 489196164096.

The previous prime is 1234314404233. The next prime is 1234314404269. The reversal of 1234314404240 is 424044134321.

It can be written as a sum of positive squares in 4 ways, for example, as 555364771984 + 678949632256 = 745228^2 + 823984^2 .

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

It is a super-2 number, since 2×12343144042402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1234314404197 and 1234314404206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70766189 + ... + 70783628.

It is an arithmetic number, because the mean of its divisors is an integer number (72402731907).

Almost surely, 21234314404240 is an apocalyptic number.

1234314404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234314404240 is an abundant number, since it is smaller than the sum of its proper divisors (1661794872040).

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

1234314404240 is a wasteful number, since it uses less digits than its factorization.

1234314404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141549939 (or 141549933 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1234314404240 its reverse (424044134321), we get a palindrome (1658358538561).

The spelling of 1234314404240 in words is "one trillion, two hundred thirty-four billion, three hundred fourteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 141549817 283099634 566199268 707749085 1132398536 1415498170 2264797072 2830996340 5661992680 11323985360 15428930053 30857860106 61715720212 77144650265 123431440424 154289300530 246862880848 308578601060 617157202120 1234314404240