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1141358656 = 264121032
BaseRepresentation
bin100010000000111…
…1100000001000000
32221112200000201211
41010001330001000
54314141434111
6305131135504
740166250154
oct10401740100
92845600654
101141358656
115362a3719
1227a2a4594
13152601a69
14ab827064
156a305521
hex4407c040

1141358656 has 63 divisors (see below), whose sum is σ = 2344229373. Its totient is φ = 551354880.

The previous prime is 1141358653. The next prime is 1141358719. The reversal of 1141358656 is 6568531411.

The square root of 1141358656 is 33784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 1086361600 = 7416^2 + 32960^2 .

It is a super-2 number, since 2×11413586562 = 2605399163252252672, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (86400) is a multiple of the sum of its prime factors (300).

It is not an unprimeable number, because it can be changed into a prime (1141358653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11081101 + ... + 11081203.

Almost surely, 21141358656 is an apocalyptic number.

1141358656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1141358656 is the 33784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141358656

1141358656 is an abundant number, since it is smaller than the sum of its proper divisors (1202870717).

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

1141358656 is an frugal number, since it uses more digits than its factorization.

1141358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 146 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The cubic root of 1141358656 is about 1045.0587654963.

The spelling of 1141358656 in words is "one billion, one hundred forty-one million, three hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 103 164 206 328 412 656 824 1312 1648 1681 2624 3296 3362 4223 6592 6724 8446 10609 13448 16892 21218 26896 33784 42436 53792 67568 84872 107584 135136 169744 173143 270272 339488 346286 434969 678976 692572 869938 1385144 1739876 2770288 3479752 5540576 6959504 11081152 13919008 17833729 27838016 35667458 71334916 142669832 285339664 570679328 1141358656