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424420001440 = 25523711118779
BaseRepresentation
bin1100010110100010110…
…01110100011010100000
31111120111120002222100121
412023101121310122200
523423203010021230
6522550441330024
742443344326331
oct6132131643240
91446446088317
10424420001440
11153aa5031976
126a309496914
133103a95cc36
14167834cc288
15b0906ee77a
hex62d16746a0

424420001440 has 48 divisors (see below), whose sum is σ = 1003116048480. Its totient is φ = 169696247040.

The previous prime is 424420001431. The next prime is 424420001441. The reversal of 424420001440 is 44100024424.

It is not an unprimeable number, because it can be changed into a prime (424420001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180030 + ... + 938749.

It is an arithmetic number, because the mean of its divisors is an integer number (20898251010).

Almost surely, 2424420001440 is an apocalyptic number.

424420001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424420001440 is an abundant number, since it is smaller than the sum of its proper divisors (578696047040).

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

424420001440 is a wasteful number, since it uses less digits than its factorization.

424420001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121165 (or 1121157 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 424420001440 its reverse (44100024424), we get a palindrome (468520025864).

The spelling of 424420001440 in words is "four hundred twenty-four billion, four hundred twenty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2371 4742 9484 11855 18968 23710 37936 47420 75872 94840 189680 379360 1118779 2237558 4475116 5593895 8950232 11187790 17900464 22375580 35800928 44751160 89502320 179004640 2652625009 5305250018 10610500036 13263125045 21221000072 26526250090 42442000144 53052500180 84884000288 106105000360 212210000720 424420001440