Search a number
-
+
2014341440 = 26510875791
BaseRepresentation
bin111100000010000…
…0110100101000000
312012101100010222112
41320010012211000
513111132411230
6531514154452
7100626422366
oct17004064500
95171303875
102014341440
119440525a1
12482722a28
13261429017
1415174d636
15bbc96d95
hex78106940

2014341440 has 56 divisors (see below), whose sum is σ = 4801892352. Its totient is φ = 804856320.

The previous prime is 2014341431. The next prime is 2014341443. The reversal of 2014341440 is 441434102.

2014341440 = T121 + T122 + ... + T2294.

It is a happy number.

It is a super-3 number, since 3×20143414403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014341443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344945 + ... + 350735.

Almost surely, 22014341440 is an apocalyptic number.

2014341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014341440 is an abundant number, since it is smaller than the sum of its proper divisors (2787550912).

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

2014341440 is a wasteful number, since it uses less digits than its factorization.

2014341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2014341440 is about 44881.4153074521. The cubic root of 2014341440 is about 1262.9253938842.

Adding to 2014341440 its reverse (441434102), we get a palindrome (2455775542).

The spelling of 2014341440 in words is "two billion, fourteen million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1087 2174 4348 5435 5791 8696 10870 11582 17392 21740 23164 28955 34784 43480 46328 57910 69568 86960 92656 115820 173920 185312 231640 347840 370624 463280 926560 1853120 6294817 12589634 25179268 31474085 50358536 62948170 100717072 125896340 201434144 251792680 402868288 503585360 1007170720 2014341440