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424443451341320 = 2355310112591574479
BaseRepresentation
bin110000010000001110111000…
…1001001001111101000001000
32001122211101201220100112110022
41200200131301021033220020
5421113040142020410240
64102414344004240012
7155255012254121645
oct14040356111175010
92048741656315408
10424443451341320
11113271503078534
123b72bb990a0008
13152aaacc07b6a8
1476b525baa8dcc
153410b353499b5
hex182077124fa08

424443451341320 has 128 divisors (see below), whose sum is σ = 983431544256000. Its totient is φ = 164793684556800.

The previous prime is 424443451341293. The next prime is 424443451341383. The reversal of 424443451341320 is 23143154344424.

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 31 ways as a sum of consecutive naturals, for example, 268789841 + ... + 270364319.

It is an arithmetic number, because the mean of its divisors is an integer number (7683058939500).

Almost surely, 2424443451341320 is an apocalyptic number.

424443451341320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424443451341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491715772128000).

424443451341320 is an abundant number, since it is smaller than the sum of its proper divisors (558988092914680).

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

424443451341320 is a wasteful number, since it uses less digits than its factorization.

424443451341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575903 (or 1575899 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 44.

The spelling of 424443451341320 in words is "four hundred twenty-four trillion, four hundred forty-three billion, four hundred fifty-one million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 1259 2020 2120 2518 4040 5036 5353 6295 10072 10706 12590 21412 25180 26765 42824 50360 53530 66727 107060 127159 133454 214120 254318 266908 333635 508636 533816 635795 667270 1017272 1271590 1334540 1574479 2543180 2669080 3148958 5086360 6297916 6739427 7872395 12595832 13478854 15744790 26957708 31489580 33697135 53915416 62979160 67394270 83447387 134788540 159022379 166894774 269577080 318044758 333789548 417236935 636089516 667579096 795111895 834473870 1272179032 1590223790 1668947740 1982269061 3180447580 3337895480 3964538122 6360895160 7929076244 8428186087 9911345305 15858152488 16856372174 19822690610 33712744348 39645381220 42140930435 67425488696 79290762440 84281860870 105060260233 168563721740 200209175161 210120520466 337127443480 400418350322 420241040932 525301301165 800836700644 840482081864 1001045875805 1050602602330 1601673401288 2002091751610 2101205204660 4004183503220 4202410409320 8008367006440 10611086283533 21222172567066 42444345134132 53055431417665 84888690268264 106110862835330 212221725670660 424443451341320