Search a number
-
+
1114434441140 = 225197282851381
BaseRepresentation
bin10000001101111001011…
…110000000111110110100
310221112112212000100111212
4100031321132000332310
5121224330204104030
62211544125420552
7143341503311216
oct20157136007664
93845485010455
101114434441140
1139a6a1209299
1215bb99a0a758
13811243c6cc7
143bd2054c5b6
151dec7cec595
hex10379780fb4

1114434441140 has 24 divisors (see below), whose sum is σ = 2352192092712. Its totient is φ = 443510963840.

The previous prime is 1114434441139. The next prime is 1114434441203. The reversal of 1114434441140 is 411444344111.

It can be written as a sum of positive squares in 4 ways, for example, as 144591583504 + 969842857636 = 380252^2 + 984806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1114434441097 and 1114434441106.

It is a congruent number.

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, 141421751 + ... + 141429630.

It is an arithmetic number, because the mean of its divisors is an integer number (98008003863).

Almost surely, 21114434441140 is an apocalyptic number.

1114434441140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114434441140 is an abundant number, since it is smaller than the sum of its proper divisors (1237757651572).

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

1114434441140 is a wasteful number, since it uses less digits than its factorization.

1114434441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282851587 (or 282851585 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 1114434441140 its reverse (411444344111), we get a palindrome (1525878785251).

The spelling of 1114434441140 in words is "one trillion, one hundred fourteen billion, four hundred thirty-four million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 282851381 565702762 1131405524 1414256905 2828513810 5657027620 55721722057 111443444114 222886888228 278608610285 557217220570 1114434441140