Search a number
-
+
425023411300000 = 255529146559797
BaseRepresentation
bin110000010100011100111100…
…1011100111010011010100000
32001201212211201022100000022221
41200220321321130322122200
5421202040421243100000
64103541020515040424
7155344633230333352
oct14050717134723240
92051784638300287
10425023411300000
11113475464383407
123b8044745a0114
13153206c6c51986
1476d53586030d2
153420c7ab8c61a
hex1828e7973a6a0

425023411300000 has 144 divisors (see below), whose sum is σ = 1081954259167320. Its totient is φ = 164146971520000.

The previous prime is 425023411299953. The next prime is 425023411300001. The reversal of 425023411300000 is 3114320524.

It can be written as a sum of positive squares in 12 ways, for example, as 210234572283024 + 214788839016976 = 14499468^2 + 14655676^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (425023411300001) 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 23 ways as a sum of consecutive naturals, for example, 70379899 + ... + 76179898.

Almost surely, 2425023411300000 is an apocalyptic number.

425023411300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425023411300000 is an abundant number, since it is smaller than the sum of its proper divisors (656930847867320).

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

425023411300000 is an equidigital number, since it uses as much as digits as its factorization.

425023411300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146559861 (or 146559833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 425023411300000 its reverse (3114320524), we get a palindrome (425026525620524).

The spelling of 425023411300000 in words is "four hundred twenty-five trillion, twenty-three billion, four hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 72500 90625 100000 116000 145000 181250 290000 362500 580000 725000 1450000 2900000 146559797 293119594 586239188 732798985 1172478376 1465597970 2344956752 2931195940 3663994925 4250234113 4689913504 5862391880 7327989850 8500468226 11724783760 14655979700 17000936452 18319974625 21251170565 23449567520 29311959400 34001872904 36639949250 42502341130 58623918800 68003745808 73279898500 85004682260 91599873125 106255852825 117247837600 136007491616 146559797000 170009364520 183199746250 212511705650 293119594000 340018729040 366399492500 425023411300 457999365625 531279264125 586239188000 680037458080 732798985000 850046822600 915998731250 1062558528250 1465597970000 1700093645200 1831997462500 2125117056500 2656396320625 2931195940000 3400187290400 3663994925000 4250234113000 5312792641250 7327989850000 8500468226000 10625585282500 13281981603125 14655979700000 17000936452000 21251170565000 26563963206250 42502341130000 53127926412500 85004682260000 106255852825000 212511705650000 425023411300000