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1110414134440 = 2351313731555289
BaseRepresentation
bin10000001010001001110…
…101110000110010101000
310221011011200002121111201
4100022021311300302220
5121143112004300230
62210041152333544
7143140045260352
oct20121165606250
93834150077451
101110414134440
11398a18915376
1215b2575442b4
13809335156c0
143ba5c6300d2
151dd3edb55ca
hex10289d70ca8

1110414134440 has 64 divisors (see below), whose sum is σ = 2692580259600. Its totient is φ = 409700186112.

The previous prime is 1110414134393. The next prime is 1110414134447. The reversal of 1110414134440 is 444314140111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 919876646404 + 190537488036 = 959102^2 + 436506^2 .

It is a super-2 number, since 2×11104141344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110414134399 and 1110414134408.

It is not an unprimeable number, because it can be changed into a prime (1110414134447) 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, 63685 + ... + 1491604.

Almost surely, 21110414134440 is an apocalyptic number.

1110414134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110414134440 is an abundant number, since it is smaller than the sum of its proper divisors (1582166125160).

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

1110414134440 is a wasteful number, since it uses less digits than its factorization.

1110414134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556686 (or 1556682 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1110414134440 its reverse (444314140111), we get a palindrome (1554728274551).

The spelling of 1110414134440 in words is "one trillion, one hundred ten billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1373 2746 5492 6865 10984 13730 17849 27460 35698 54920 71396 89245 142792 178490 356980 713960 1555289 3110578 6221156 7776445 12442312 15552890 20218757 31105780 40437514 62211560 80875028 101093785 161750056 202187570 404375140 808750280 2135411797 4270823594 8541647188 10677058985 17083294376 21354117970 27760353361 42708235940 55520706722 85416471880 111041413444 138801766805 222082826888 277603533610 555207067220 1110414134440