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1122440040 = 233253117889
BaseRepresentation
bin100001011100111…
…0001001101101000
32220020001212021100
41002321301031220
54244321040130
6303213441400
736546403641
oct10271611550
92806055240
101122440040
115266518a7
12273aa0260
1314b709907
14a91006c8
1568819c60
hex42e71368

1122440040 has 48 divisors (see below), whose sum is σ = 3647931300. Its totient is φ = 299317248.

The previous prime is 1122440027. The next prime is 1122440063. The reversal of 1122440040 is 400442211.

1122440040 is a `hidden beast` number, since 1 + 1 + 224 + 400 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1121312196 + 1127844 = 33486^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122439995 and 1122440022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558585 + ... + 1559304.

Almost surely, 21122440040 is an apocalyptic number.

1122440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122440040 is an abundant number, since it is smaller than the sum of its proper divisors (2525491260).

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

1122440040 is a wasteful number, since it uses less digits than its factorization.

1122440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117906 (or 3117899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1122440040 is about 33502.8362978420. The cubic root of 1122440040 is about 1039.2524336751.

Adding to 1122440040 its reverse (400442211), we get a palindrome (1522882251).

The spelling of 1122440040 in words is "one billion, one hundred twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3117889 6235778 9353667 12471556 15589445 18707334 24943112 28061001 31178890 37414668 46768335 56122002 62357780 74829336 93536670 112244004 124715560 140305005 187073340 224488008 280610010 374146680 561220020 1122440040