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3414514552240 = 245113880130173
BaseRepresentation
bin110001101100000000111…
…011010100110110110000
3110002102110101112021222211
4301230000323110312300
5421420411211132430
611132334544541504
7501455565546661
oct61540073246660
913072411467884
103414514552240
1110a70a64a2aa0
1247190a021894
131b9cab258a9c
14bb398a35368
155dc4551072a
hex31b00ed4db0

3414514552240 has 40 divisors (see below), whose sum is σ = 8660450548368. Its totient is φ = 1241641655040.

The previous prime is 3414514552201. The next prime is 3414514552261. The reversal of 3414514552240 is 422554154143.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 3414514552193 and 3414514552202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1940064207 + ... + 1940065966.

Almost surely, 23414514552240 is an apocalyptic number.

It is an amenable number.

3414514552240 is an abundant number, since it is smaller than the sum of its proper divisors (5245935996128).

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

3414514552240 is a wasteful number, since it uses less digits than its factorization.

3414514552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880130197 (or 3880130191 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 3414514552240 in words is "three trillion, four hundred fourteen billion, five hundred fourteen million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3880130173 7760260346 15520520692 19400650865 31041041384 38801301730 42681431903 62082082768 77602603460 85362863806 155205206920 170725727612 213407159515 310410413840 341451455224 426814319030 682902910448 853628638060 1707257276120 3414514552240