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154114140111444 = 22324434379654017
BaseRepresentation
bin100011000010101001111110…
…100100111000001001010100
3202012200011112101220220221200
4203002221332210320021110
5130200001224332031234
61303435020352512500
744314244026536642
oct4302517644701124
9665604471826850
10154114140111444
1145118492388a47
121535042984b730
1367cbb937cbc16
142a0b242726192
1512c3ce0bd1d99
hex8c2a7e938254

154114140111444 has 36 divisors (see below), whose sum is σ = 389567217483444. Its totient is φ = 51371258867712.

The previous prime is 154114140111409. The next prime is 154114140111469. The reversal of 154114140111444 is 444111041411451.

154114140111444 is a `hidden beast` number, since 1 + 54 + 1 + 14 + 1 + 40 + 111 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79695256928400 + 74418883183044 = 8927220^2 + 8626638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 154114140111399 and 154114140111408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11136724 + ... + 20790740.

Almost surely, 2154114140111444 is an apocalyptic number.

It is an amenable number.

154114140111444 is an abundant number, since it is smaller than the sum of its proper divisors (235453077372000).

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

154114140111444 is a wasteful number, since it uses less digits than its factorization.

154114140111444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097464 (or 10097459 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 154114140111444 its reverse (444111041411451), we get a palindrome (598225181522895).

The spelling of 154114140111444 in words is "one hundred fifty-four trillion, one hundred fourteen billion, one hundred forty million, one hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 443437 886874 1330311 1773748 2660622 3990933 5321244 7981866 9654017 15963732 19308034 28962051 38616068 57924102 86886153 115848204 173772306 347544612 4280948336429 8561896672858 12842845009287 17123793345716 25685690018574 38528535027861 51371380037148 77057070055722 154114140111444