Search a number
-
+
424115455016540 = 225713922397731913
BaseRepresentation
bin110000001101110110001001…
…1000010100011111001011100
32001121200001010021101212000102
41200123230103002203321130
5421042201422441012130
64102003541132520232
7155222221226300210
oct14033542302437134
92047601107355012
10424115455016540
11113155399765041
123b6984bb920078
1315285bba01ab41
1476a3424692940
153407339ded645
hex181bb130a3e5c

424115455016540 has 96 divisors (see below), whose sum is σ = 1029797268541440. Its totient is φ = 143717513089536.

The previous prime is 424115455016447. The next prime is 424115455016543. The reversal of 424115455016540 is 45610554511424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424115455016543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44526377 + ... + 53205536.

It is an arithmetic number, because the mean of its divisors is an integer number (10727054880640).

Almost surely, 2424115455016540 is an apocalyptic number.

It is an amenable number.

424115455016540 is an abundant number, since it is smaller than the sum of its proper divisors (605681813524900).

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

424115455016540 is a wasteful number, since it uses less digits than its factorization.

424115455016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97732291 (or 97732289 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 47.

The spelling of 424115455016540 in words is "four hundred twenty-four trillion, one hundred fifteen billion, four hundred fifty-five million, sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 223 278 446 556 695 892 973 1115 1390 1561 1946 2230 2780 3122 3892 4460 4865 6244 7805 9730 15610 19460 30997 31220 61994 123988 154985 216979 309970 433958 619940 867916 1084895 2169790 4339580 97731913 195463826 390927652 488659565 684123391 977319130 1368246782 1954638260 2736493564 3420616955 6841233910 13584735907 13682467820 21794216599 27169471814 43588433198 54338943628 67923679535 87176866396 95093151349 108971082995 135847359070 152559516193 190186302698 217942165990 271694718140 305119032386 380372605396 435884331980 475465756745 610238064772 762797580965 950931513490 1525595161930 1901863026980 3029396107261 3051190323860 6058792214522 12117584429044 15146980536305 21205772750827 30293961072610 42411545501654 60587922145220 84823091003308 106028863754135 212057727508270 424115455016540