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1141276440 = 233529327953
BaseRepresentation
bin100010000000110…
…0111111100011000
32221112111211221210
41010001213330120
54314131321230
6305125303120
740165455363
oct10401477430
92845454853
101141276440
11536247977
1227a264aa0
131525a3505
14ab8050da
156a2daeb0
hex44067f18

1141276440 has 64 divisors (see below), whose sum is σ = 3541903200. Its totient is φ = 293844992.

The previous prime is 1141276429. The next prime is 1141276441. The reversal of 1141276440 is 446721411.

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 = 1141276398 and 1141276407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141276441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160497 + ... + 167456.

Almost surely, 21141276440 is an apocalyptic number.

1141276440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141276440 is an abundant number, since it is smaller than the sum of its proper divisors (2400626760).

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

1141276440 is a wasteful number, since it uses less digits than its factorization.

1141276440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327996 (or 327992 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1141276440 is about 33782.7831890743. The cubic root of 1141276440 is about 1045.0336718315.

Adding to 1141276440 its reverse (446721411), we get a palindrome (1587997851).

The spelling of 1141276440 in words is "one billion, one hundred forty-one million, two hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 327953 655906 983859 1311812 1639765 1967718 2623624 3279530 3935436 4919295 6559060 7870872 9510637 9838590 13118120 19021274 19677180 28531911 38042548 39354360 47553185 57063822 76085096 95106370 114127644 142659555 190212740 228255288 285319110 380425480 570638220 1141276440