Search a number
-
+
1414121667444 = 223347278589769
BaseRepresentation
bin10100100101000000001…
…110000011101101110100
312000012002120101211102000
4110211000032003231310
5141132110121324234
63001345531015300
7204111152563113
oct24450016035564
95005076354360
101414121667444
114a57a88a7032
121aa09659a530
13a34744a4905
144c62dd13c7a
1526bb7cc7899
hex14940383b74

1414121667444 has 48 divisors (see below), whose sum is σ = 3744246508800. Its totient is φ = 461344655808.

The previous prime is 1414121667419. The next prime is 1414121667467. The reversal of 1414121667444 is 4447661214141.

1414121667444 is a `hidden beast` number, since 1 + 4 + 1 + 41 + 2 + 166 + 7 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1414121667444.

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 15 ways as a sum of consecutive naturals, for example, 139289809 + ... + 139299960.

It is an arithmetic number, because the mean of its divisors is an integer number (78005135600).

Almost surely, 21414121667444 is an apocalyptic number.

It is an amenable number.

1414121667444 is an abundant number, since it is smaller than the sum of its proper divisors (2330124841356).

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

1414121667444 is a wasteful number, since it uses less digits than its factorization.

1414121667444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278589829 (or 278589821 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 1414121667444 in words is "one trillion, four hundred fourteen billion, one hundred twenty-one million, six hundred sixty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 278589769 557179538 835769307 1114359076 1671538614 2507307921 3343077228 5014615842 7521923763 10029231684 13093719143 15043847526 26187438286 30087695052 39281157429 52374876572 78562314858 117843472287 157124629716 235686944574 353530416861 471373889148 707060833722 1414121667444