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2323244141440 = 27514924362879
BaseRepresentation
bin100001110011101100001…
…001000100101110000000
322020002200212201121101121
4201303230021010232000
5301031001000011230
64535141132442024
7326564104241545
oct41635411045600
98202625647347
102323244141440
11816311829632
12316315919314
1313b108bc3011
1480634ab2bcc
154067612477a
hex21cec244b80

2323244141440 has 64 divisors (see below), whose sum is σ = 5591280960000. Its totient is φ = 923060721664.

The previous prime is 2323244141419. The next prime is 2323244141459. The reversal of 2323244141440 is 441414423232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2323244141396 and 2323244141405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12086080 + ... + 12276799.

It is an arithmetic number, because the mean of its divisors is an integer number (87363765000).

Almost surely, 22323244141440 is an apocalyptic number.

2323244141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323244141440 is an abundant number, since it is smaller than the sum of its proper divisors (3268036818560).

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

2323244141440 is a wasteful number, since it uses less digits than its factorization.

2323244141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24363047 (or 24363035 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 2323244141440 its reverse (441414423232), we get a palindrome (2764658564672).

The spelling of 2323244141440 in words is "two trillion, three hundred twenty-three billion, two hundred forty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2384 2980 4768 5960 9536 11920 19072 23840 47680 95360 24362879 48725758 97451516 121814395 194903032 243628790 389806064 487257580 779612128 974515160 1559224256 1949030320 3118448512 3630068971 3898060640 7260137942 7796121280 14520275884 15592242560 18150344855 29040551768 36300689710 58081103536 72601379420 116162207072 145202758840 232324414144 290405517680 464648828288 580811035360 1161622070720 2323244141440