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144102134626049 = 3167313221661149
BaseRepresentation
bin100000110000111101100100…
…100010111011011100000001
3200220020000210112020211020002
4200300331210202323130001
5122341432132431013144
61230251335020325345
742232015142221235
oct4060754442733401
9626200715224202
10144102134626049
1141a08410297076
12141b3b613a3855
136253a0833b1b2
14278281ad8c5c5
15119d661cd814e
hex830f648bb701

144102134626049 has 16 divisors (see below), whose sum is σ = 151453083993600. Its totient is φ = 136933390788480.

The previous prime is 144102134625959. The next prime is 144102134626133. The reversal of 144102134626049 is 940626431201441.

It is a cyclic number.

It is not a de Polignac number, because 144102134626049 - 28 = 144102134625793 is a prime.

It is a super-4 number, since 4×1441021346260494 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144102134625994 and 144102134626012.

It is not an unprimeable number, because it can be changed into a prime (144102134686049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110180474 + ... + 111480675.

It is an arithmetic number, because the mean of its divisors is an integer number (9465817749600).

Almost surely, 2144102134626049 is an apocalyptic number.

It is an amenable number.

144102134626049 is a deficient number, since it is larger than the sum of its proper divisors (7350949367551).

144102134626049 is a wasteful number, since it uses less digits than its factorization.

144102134626049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221661560.

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 144102134626049 in words is "one hundred forty-four trillion, one hundred two billion, one hundred thirty-four million, six hundred twenty-six thousand, forty-nine".

Divisors: 1 31 67 313 2077 9703 20971 650101 221661149 6871495619 14851296983 69379939637 460390206473 2150778128747 4648455955679 144102134626049