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144034001201132 = 22723374038753993
BaseRepresentation
bin100000101111111110000111…
…011110100010011111101100
3200212222111221012012012222222
4200233332013132202133230
5122334323113301414012
61230200150124454512
742224053551526400
oct4057760736423754
9625874835165888
10144034001201132
11419915277a0539
12141a29076aa438
13624a46a823553
14277d3d621d100
15119b9c54d1972
hex82ff877a27ec

144034001201132 has 72 divisors (see below), whose sum is σ = 294094867785264. Its totient is φ = 61543022220288.

The previous prime is 144034001201047. The next prime is 144034001201141. The reversal of 144034001201132 is 231102100430441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667615128 + ... + 2667669120.

It is an arithmetic number, because the mean of its divisors is an integer number (4084650941462).

Almost surely, 2144034001201132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144034001201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147047433892632).

144034001201132 is an abundant number, since it is smaller than the sum of its proper divisors (150060866584132).

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

144034001201132 is a wasteful number, since it uses less digits than its factorization.

144034001201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94735 (or 94726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144034001201132 its reverse (231102100430441), we get a palindrome (375136101631573).

The spelling of 144034001201132 in words is "one hundred forty-four trillion, thirty-four billion, one million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 337 674 1348 2359 4718 9436 16513 33026 40387 53993 66052 80774 107986 161548 215972 282709 377951 565418 755902 1130836 1511804 1978963 2645657 3957926 5291314 7915852 10582628 13610419 18195641 27220838 36391282 54441676 72782564 95272933 127369487 190545866 254738974 381091732 509477948 666910531 891586409 1333821062 1783172818 2180615291 2667642124 3566345636 4361230582 8722461164 15264307037 30528614074 61057228148 106850149259 213700298518 427400597036 734867353067 1469734706134 2939469412268 5144071471469 10288142942938 20576285885876 36008500300283 72017000600566 144034001201132