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100144000044 = 2232112171352347
BaseRepresentation
bin101110101000100001…
…1000010110000101100
3100120111012121022011200
41131101003002300230
53120043331000134
6114001105245500
710143442645464
oct1352103026054
9316435538150
10100144000044
113951a74a500
12174aa033890
13959c5ba67a
144bc0226ba4
152911bd1499
hex17510c2c2c

100144000044 has 108 divisors (see below), whose sum is σ = 294614421192. Its totient is φ = 28561547520.

The previous prime is 100144000001. The next prime is 100144000051. The reversal of 100144000044 is 440000441001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100143999990 and 100144000026.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 602122 + ... + 750225.

Almost surely, 2100144000044 is an apocalyptic number.

It is an amenable number.

100144000044 is an abundant number, since it is smaller than the sum of its proper divisors (194470421148).

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

100144000044 is a wasteful number, since it uses less digits than its factorization.

100144000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352396 (or 1352380 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100144000044 its reverse (440000441001), we get a palindrome (540144441045).

It can be divided in two parts, 1001 and 44000044, that multiplied together give a palindrome (44044044044).

The spelling of 100144000044 in words is "one hundred billion, one hundred forty-four million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 18513 24684 37026 74052 1352347 2704694 4057041 5409388 8114082 12171123 14875817 16228164 22989899 24342246 29751634 44627451 45979798 48684492 59503268 68969697 89254902 91959596 133882353 137939394 163633987 178509804 206909091 252888889 267764706 275878788 327267974 413818182 490901961 505777778 535529412 654535948 758666667 827636364 981803922 1011555556 1472705883 1517333334 1963607844 2276000001 2781777779 2945411766 3034666668 4552000002 5563555558 5890823532 8345333337 9104000004 11127111116 16690666674 25036000011 33381333348 50072000022 100144000044