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40144101032343 = 3721141254127299
BaseRepresentation
bin10010010000010110001101…
…11000011100000110010111
312021010201221102102220211110
421020023012320130012113
520230210104331013333
6221213540113310103
711312213150441400
oct1110130670340627
9167121842386743
1040144101032343
1111878021529540
124604242265333
1319527599937c9
149cadb063a9a7
154993909be063
hex2482c6e1c197

40144101032343 has 144 divisors (see below), whose sum is σ = 69753066364800. Its totient is φ = 20307091392000.

The previous prime is 40144101032263. The next prime is 40144101032359. The reversal of 40144101032343 is 34323010144104.

It is not a de Polignac number, because 40144101032343 - 226 = 40144033923479 is a prime.

It is a super-2 number, since 2×401441010323432 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40144101032343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144101012343) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1470520108 + ... + 1470547406.

It is an arithmetic number, because the mean of its divisors is an integer number (484396294200).

Almost surely, 240144101032343 is an apocalyptic number.

40144101032343 is a deficient number, since it is larger than the sum of its proper divisors (29608965332457).

40144101032343 is a wasteful number, since it uses less digits than its factorization.

40144101032343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27902 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 40144101032343 its reverse (34323010144104), we get a palindrome (74467111176447).

The spelling of 40144101032343 in words is "forty trillion, one hundred forty-four billion, one hundred one million, thirty-two thousand, three hundred forty-three".

Divisors: 1 3 7 11 21 33 41 49 77 123 147 231 287 451 539 541 861 1353 1617 1623 1681 2009 3157 3787 5043 5951 6027 9471 11361 11767 17853 18491 22099 22181 26509 27299 35301 41657 55473 66297 66543 79527 81897 82369 124971 129437 155267 191093 243991 247107 291599 300289 388311 465801 573279 731973 874797 900867 906059 909421 1086869 1119259 1337651 1707937 2102023 2718177 2728263 3260607 3357777 4012953 5123811 6306069 6365947 7834813 10003631 11955559 12311849 14714161 14768759 19097841 23504439 30010893 35866677 36935547 44142483 44306277 44561629 45889619 54843691 70025417 86182943 103381313 133684887 137668857 162456349 164531073 210076251 258548829 310143939 321227333 487369047 490177919 504785809 603280601 605519119 723669191 963681999 1137194443 1470533757 1514357427 1809841803 1816557357 2171007573 2248591331 3411583329 3533500663 4238633833 6660710309 6745773993 7960361101 10600501989 12715901499 19982130927 23881083303 24734504641 24826283879 29670436831 46624972163 74203513923 74478851637 89011310493 139874916489 173783987153 273089122669 326374805141 521351961459 819267368007 979124415423 1216487910071 1911623858683 3649463730213 5734871576049 13381367010781 40144101032343