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1143144043440 = 24357680442883
BaseRepresentation
bin10000101000101000101…
…100011101001110110000
311001021122200012021000120
4100220220230131032300
5122212124333342230
62233053024050240
7145406114021520
oct20505054351660
94037580167016
101143144043440
11400894013443
12165670763980
1383a4b336969
143d485455680
151eb084d1310
hex10a28b1d3b0

1143144043440 has 80 divisors (see below), whose sum is σ = 4049996045568. Its totient is φ = 261290066688.

The previous prime is 1143144043439. The next prime is 1143144043441. The reversal of 1143144043440 is 443404413411.

It is an interprime number because it is at equal distance from previous prime (1143144043439) and next prime (1143144043441).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1143144043441) 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 15 ways as a sum of consecutive naturals, for example, 340219762 + ... + 340223121.

Almost surely, 21143144043440 is an apocalyptic number.

1143144043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143144043440 is an abundant number, since it is smaller than the sum of its proper divisors (2906852002128).

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

1143144043440 is a wasteful number, since it uses less digits than its factorization.

1143144043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680442906 (or 680442900 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1143144043440 its reverse (443404413411), we get a palindrome (1586548456851).

The spelling of 1143144043440 in words is "one trillion, one hundred forty-three billion, one hundred forty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 680442883 1360885766 2041328649 2721771532 3402214415 4082657298 4763100181 5443543064 6804428830 8165314596 9526200362 10206643245 10887086128 13608857660 14289300543 16330629192 19052400724 20413286490 23815500905 27217715320 28578601086 32661258384 38104801448 40826572980 47631001810 54435430640 57157202172 71446502715 76209602896 81653145960 95262003620 114314404344 142893005430 163306291920 190524007240 228628808688 285786010860 381048014480 571572021720 1143144043440