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4541443146112 = 271672418111087
BaseRepresentation
bin100001000010110001100…
…0110110000000110000000
3121002011020222111100222011
41002011203012300012000
51043401333421133422
613354150555422304
7646052123546365
oct102054306600600
917064228440864
104541443146112
1114a1019296144
126141b4154994
1326c343ca3072
14119b4267446c
157d20013e077
hex421631b0180

4541443146112 has 128 divisors (see below), whose sum is σ = 9159035719680. Its totient is φ = 2242921881600.

The previous prime is 4541443146103. The next prime is 4541443146127. The reversal of 4541443146112 is 2116413441454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177960033 + ... + 4177961119.

It is an arithmetic number, because the mean of its divisors is an integer number (71554966560).

Almost surely, 24541443146112 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 4541443146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579517859840).

4541443146112 is an abundant number, since it is smaller than the sum of its proper divisors (4617592573568).

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

4541443146112 is a wasteful number, since it uses less digits than its factorization.

4541443146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2308 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

Adding to 4541443146112 its reverse (2116413441454), we get a palindrome (6657856587566).

The spelling of 4541443146112 in words is "four trillion, five hundred forty-one billion, four hundred forty-three million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 167 241 334 482 668 811 964 1087 1336 1622 1928 2174 2672 3244 3856 4348 5344 6488 7712 8696 10688 12976 15424 17392 21376 25952 30848 34784 40247 51904 69568 80494 103808 135437 139136 160988 181529 195451 261967 270874 321976 363058 390902 523934 541748 643952 726116 781804 881557 1047868 1083496 1287904 1452232 1563608 1763114 2095736 2166992 2575808 2904464 3127216 3526228 4191472 4333984 5151616 5808928 6254432 7052456 8382944 8667968 11617856 12508864 14104912 16765888 17335936 23235712 25017728 28209824 32640317 33531776 43748489 56419648 65280634 87496978 112839296 130561268 147220019 174993956 212455237 261122536 294440038 349987912 424910474 522245072 588880076 699975824 849820948 1044490144 1177760152 1399951648 1699641896 2088980288 2355520304 2799903296 3399283792 4177960576 4711040608 5599806592 6798567584 9422081216 13597135168 18844162432 27194270336 35480024579 70960049158 141920098316 283840196632 567680393264 1135360786528 2270721573056 4541443146112