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14240024021040 = 2435193130726791
BaseRepresentation
bin1100111100111000001110…
…0100101100100000110000
31212102022222202110120102120
43033032003210230200300
53331302032122133130
650141435434514240
72666544033022416
oct317160344544060
955368882416376
1014240024021040
1145a0184361224
12171b98b295980
137c3aa02b60bc
14373313db12b6
1519a638001910
hexcf38392c830

14240024021040 has 80 divisors (see below), whose sum is σ = 44166936635136. Its totient is φ = 3795373100800.

The previous prime is 14240024021039. The next prime is 14240024021053. The reversal of 14240024021040 is 4012042004241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14240024021040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14899956 + ... + 15826835.

Almost surely, 214240024021040 is an apocalyptic number.

14240024021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240024021040 is an abundant number, since it is smaller than the sum of its proper divisors (29926912614096).

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

14240024021040 is a wasteful number, since it uses less digits than its factorization.

14240024021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30728738 (or 30728732 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14240024021040 its reverse (4012042004241), we get a palindrome (18252066025281).

The spelling of 14240024021040 in words is "fourteen trillion, two hundred forty billion, twenty-four million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1931 3862 5793 7724 9655 11586 15448 19310 23172 28965 30896 38620 46344 57930 77240 92688 115860 154480 231720 463440 30726791 61453582 92180373 122907164 153633955 184360746 245814328 307267910 368721492 460901865 491628656 614535820 737442984 921803730 1229071640 1474885968 1843607460 2458143280 3687214920 7374429840 59333433421 118666866842 178000300263 237333733684 296667167105 356000600526 474667467368 593334334210 712001201052 890001501315 949334934736 1186668668420 1424002402104 1780003002630 2373337336840 2848004804208 3560006005260 4746674673680 7120012010520 14240024021040