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11314383383088 = 24321132789249311
BaseRepresentation
bin1010010010100101010111…
…0011010110101000110000
31111001122101211110021100200
42210221111303112220300
52440333324121224323
640021431142315200
72245302652640322
oct244512563265060
944048354407320
1011314383383088
1136724484aa875
121328978128b00
13640c32105816
142b1894a6b612
151494a697b443
hexa4a55cd6a30

11314383383088 has 120 divisors (see below), whose sum is σ = 31956358412160. Its totient is φ = 3736730081280.

The previous prime is 11314383383081. The next prime is 11314383383131. The reversal of 11314383383088 is 88038338341311.

It is a happy number.

11314383383088 is a `hidden beast` number, since 11 + 314 + 3 + 8 + 3 + 3 + 8 + 308 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11314383383081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45257953 + ... + 45507263.

It is an arithmetic number, because the mean of its divisors is an integer number (266302986768).

Almost surely, 211314383383088 is an apocalyptic number.

11314383383088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314383383088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978179206080).

11314383383088 is an abundant number, since it is smaller than the sum of its proper divisors (20641975029072).

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

11314383383088 is a wasteful number, since it uses less digits than its factorization.

11314383383088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252227 (or 252218 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11314383383088 in words is "eleven trillion, three hundred fourteen billion, three hundred eighty-three million, three hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 2789 4068 5424 5578 8136 8367 11156 16272 16734 22312 25101 33468 44624 50202 66936 100404 133872 200808 249311 315157 401616 498622 630314 747933 945471 997244 1260628 1495866 1890942 1994488 2243799 2521256 2836413 2991732 3781884 3988976 4487598 5042512 5672826 5983464 7563768 8975196 11345652 11966928 15127536 17950392 22691304 28172143 35900784 45382608 56344286 84516429 112688572 169032858 225377144 253549287 338065716 450754288 507098574 676131432 695328379 1014197148 1352262864 1390656758 2028394296 2085985137 2781313516 4056788592 4171970274 5562627032 6257955411 8343940548 11125254064 12515910822 16687881096 25031821644 33375762192 50063643288 78572106827 100127286576 157144213654 235716320481 314288427308 471432640962 628576854616 707148961443 942865281924 1257153709232 1414297922886 1885730563848 2828595845772 3771461127696 5657191691544 11314383383088