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3314252345440 = 255171218475127
BaseRepresentation
bin110000001110101000110…
…101010111000001100000
3102201211122221111110122011
4300032220311113001200
5413300042100023230
611014314013522304
7461306156056111
oct60165065270140
912654587443564
103314252345440
111068626057063
124563a84a3394
131b06c03217ba
14b65a6c3c208
155b32827ee2a
hex303a8d57060

3314252345440 has 48 divisors (see below), whose sum is σ = 8290504770912. Its totient is φ = 1247718529024.

The previous prime is 3314252345431. The next prime is 3314252345471. The reversal of 3314252345440 is 445432524133.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3314252345393 and 3314252345402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609234844 + ... + 609240283.

It is an arithmetic number, because the mean of its divisors is an integer number (172718849394).

Almost surely, 23314252345440 is an apocalyptic number.

It is an amenable number.

3314252345440 is an abundant number, since it is smaller than the sum of its proper divisors (4976252425472).

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

3314252345440 is a wasteful number, since it uses less digits than its factorization.

3314252345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218475159 (or 1218475151 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 3314252345440 its reverse (445432524133), we get a palindrome (3759684869573).

The spelling of 3314252345440 in words is "three trillion, three hundred fourteen billion, two hundred fifty-two million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 1218475127 2436950254 4873900508 6092375635 9747801016 12184751270 19495602032 20714077159 24369502540 38991204064 41428154318 48739005080 82856308636 97478010160 103570385795 165712617272 194956020320 207140771590 331425234544 414281543180 662850469088 828563086360 1657126172720 3314252345440