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11444391297936 = 2434939712
BaseRepresentation
bin1010011010001001101011…
…1000001100001110010000
31111112001222022021122010000
42212202122320030032100
53000001103133013221
640201251503210000
72260554453661122
oct246423270141620
944461868248100
1011444391297936
1137125a25954a3
121349bbb5a6900
1365028081ba9c
142b7ca91d7212
1514ca65354e26
hexa689ae0c390

11444391297936 has 75 divisors (see below), whose sum is σ = 33123741191563. Its totient is φ = 3814756503840.

The previous prime is 11444391297863. The next prime is 11444391297949. The reversal of 11444391297936 is 63979219344411.

The square root of 11444391297936 is 3382956.

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

11444391297936 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 439 + 129 + 79 + 3 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 121739431 + ... + 121833401.

Almost surely, 211444391297936 is an apocalyptic number.

11444391297936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11444391297936 is the 3382956-th square number.

It is an amenable number.

11444391297936 is an abundant number, since it is smaller than the sum of its proper divisors (21679349893627).

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

11444391297936 is an frugal number, since it uses more digits than its factorization.

11444391297936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187962 (or 93976 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 11444391297936 in words is "eleven trillion, four hundred forty-four billion, three hundred ninety-one million, two hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 93971 187942 281913 375884 563826 751768 845739 1127652 1503536 1691478 2255304 2537217 3382956 4510608 5074434 6765912 7611651 10148868 13531824 15223302 20297736 30446604 40595472 60893208 121786416 8830548841 17661097682 26491646523 35322195364 52983293046 70644390728 79474939569 105966586092 141288781456 158949879138 211933172184 238424818707 317899758276 423866344368 476849637414 635799516552 715274456121 953699274828 1271599033104 1430548912242 1907398549656 2861097824484 3814797099312 5722195648968 11444391297936