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1141024440 = 233531306727
BaseRepresentation
bin100010000000010…
…1010011010111000
32221112001001021110
41010000222122320
54314100240230
6305120040320
740163355603
oct10400523270
92845031243
101141024440
11536095606
1227a1630a0
131525158ba
14ab77b33a
156a28b4b0
hex4402a6b8

1141024440 has 64 divisors (see below), whose sum is σ = 3533506560. Its totient is φ = 294456960.

The previous prime is 1141024433. The next prime is 1141024447. The reversal of 1141024440 is 444201411.

It is an interprime number because it is at equal distance from previous prime (1141024433) and next prime (1141024447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141024447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149644 + ... + 157083.

It is an arithmetic number, because the mean of its divisors is an integer number (55211040).

Almost surely, 21141024440 is an apocalyptic number.

1141024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141024440 is an abundant number, since it is smaller than the sum of its proper divisors (2392482120).

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

1141024440 is a wasteful number, since it uses less digits than its factorization.

1141024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306772 (or 306768 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1141024440 is about 33779.0532727014. The cubic root of 1141024440 is about 1044.9567498106.

Adding to 1141024440 its reverse (444201411), we get a palindrome (1585225851).

The spelling of 1141024440 in words is "one billion, one hundred forty-one million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 306727 613454 920181 1226908 1533635 1840362 2453816 3067270 3680724 4600905 6134540 7361448 9201810 9508537 12269080 18403620 19017074 28525611 36807240 38034148 47542685 57051222 76068296 95085370 114102444 142628055 190170740 228204888 285256110 380341480 570512220 1141024440