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1134940792896 = 2632443892
BaseRepresentation
bin10000100000111111101…
…111100010100001000000
311000111110222022221210100
4100200333233202201000
5122043324320333041
62225215024002400
7144665614365261
oct20407757424100
94014428287710
101134940792896
113a8364542939
12163b61460400
138304196bb61
143cd07ba0968
151e7c82386b6
hex1083fbe2840

1134940792896 has 63 divisors (see below), whose sum is σ = 3253176150861. Its totient is φ = 378305074944.

The previous prime is 1134940792891. The next prime is 1134940792907. The reversal of 1134940792896 is 6982970494311.

The square root of 1134940792896 is 1065336.

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

1134940792896 is a `hidden beast` number, since 1 + 1 + 349 + 4 + 0 + 7 + 9 + 289 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1105576543296 + 29364249600 = 1051464^2 + 171360^2 .

It is not an unprimeable number, because it can be changed into a prime (1134940792891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25545870 + ... + 25590258.

Almost surely, 21134940792896 is an apocalyptic number.

1134940792896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1134940792896 is the 1065336-th square number.

It is an amenable number.

1134940792896 is an abundant number, since it is smaller than the sum of its proper divisors (2118235357965).

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

1134940792896 is an frugal number, since it uses more digits than its factorization.

1134940792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88796 (or 44394 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1134940792896 in words is "one trillion, one hundred thirty-four billion, nine hundred forty million, seven hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 44389 88778 133167 177556 266334 355112 399501 532668 710224 799002 1065336 1420448 1598004 2130672 2840896 3196008 4261344 6392016 8522688 12784032 25568064 1970383321 3940766642 5911149963 7881533284 11822299926 15763066568 17733449889 23644599852 31526133136 35466899778 47289199704 63052266272 70933799556 94578399408 126104532544 141867599112 189156798816 283735198224 378313597632 567470396448 1134940792896