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22240013143440 = 243592666721431
BaseRepresentation
bin1010000111010001010000…
…00101010100110110010000
32220202010100202101100000210
411003220220011110312100
510403340021331042230
6115144530533444120
74453534154415561
oct503505005246620
986663322340023
1022240013143440
1170a4a33694a04
1225b231b4a0640
13c542bb86c0c1
1456c5cb01c168
152887a9018eb0
hex143a28154d90

22240013143440 has 40 divisors (see below), whose sum is σ = 68944040745408. Its totient is φ = 5930670171520.

The previous prime is 22240013143429. The next prime is 22240013143489. The reversal of 22240013143440 is 4434131004222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22240013143398 and 22240013143407.

It is an unprimeable number.

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, 46333360476 + ... + 46333360955.

Almost surely, 222240013143440 is an apocalyptic number.

22240013143440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22240013143440 is an abundant number, since it is smaller than the sum of its proper divisors (46704027601968).

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

22240013143440 is a wasteful number, since it uses less digits than its factorization.

22240013143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92666721447 (or 92666721441 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22240013143440 its reverse (4434131004222), we get a palindrome (26674144147662).

The spelling of 22240013143440 in words is "twenty-two trillion, two hundred forty billion, thirteen million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92666721431 185333442862 278000164293 370666885724 463333607155 556000328586 741333771448 926667214310 1112000657172 1390000821465 1482667542896 1853334428620 2224001314344 2780001642930 3706668857240 4448002628688 5560003285860 7413337714480 11120006571720 22240013143440