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114553132112 = 24174123942979
BaseRepresentation
bin110101010101111100…
…1100001010001010000
3101221200101221001102202
41222223321201101100
53334101100211422
6124342555102332
711163506362046
oct1525371412120
9357611831382
10114553132112
1144644290711
121a24b7419a8
13aa578b7613
145789ba0396
152ea6bcdb92
hex1aabe61450

114553132112 has 80 divisors (see below), whose sum is σ = 241747027200. Its totient is φ = 52371271680.

The previous prime is 114553132091. The next prime is 114553132157. The reversal of 114553132112 is 211231355411.

It is a happy number.

114553132112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2643839 + ... + 2686817.

It is an arithmetic number, because the mean of its divisors is an integer number (3021837840).

Almost surely, 2114553132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114553132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120873513600).

114553132112 is an abundant number, since it is smaller than the sum of its proper divisors (127193895088).

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

114553132112 is a wasteful number, since it uses less digits than its factorization.

114553132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43284 (or 43278 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

Adding to 114553132112 its reverse (211231355411), we get a palindrome (325784487523).

The spelling of 114553132112 in words is "one hundred fourteen billion, five hundred fifty-three million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 239 272 328 478 656 697 956 1394 1912 2788 3824 4063 5576 8126 9799 11152 16252 19598 32504 39196 42979 65008 78392 85958 156784 166583 171916 333166 343832 666332 687664 730643 1332664 1461286 1762139 2665328 2922572 3524278 5845144 7048556 10271981 11690288 14097112 20543962 28194224 29956363 41087924 59912726 82175848 119825452 164351696 174623677 239650904 349247354 421151221 479301808 698494708 842302442 1396989416 1684604884 2793978832 3369209768 6738419536 7159570757 14319141514 28638283028 57276566056 114553132112