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114965922816 = 2103243290107
BaseRepresentation
bin110101100010010000…
…0001100010000000000
3101222202011122222211100
41223010200030100000
53340422234012231
6124451542414400
711206651135353
oct1530440142000
9358664588740
10114965922816
11448362a2458
121a345a31400
13aac2286a84
1457c893429a
152ecd06c1e6
hex1ac480c400

114965922816 has 132 divisors (see below), whose sum is σ = 339682815472. Its totient is φ = 37430636544.

The previous prime is 114965922787. The next prime is 114965922829. The reversal of 114965922816 is 618229569411.

114965922816 is a `hidden beast` number, since 1 + 1 + 49 + 6 + 592 + 2 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251235 + ... + 541341.

Almost surely, 2114965922816 is an apocalyptic number.

114965922816 is a gapful number since it is divisible by the number (16) 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 114965922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169841407736).

114965922816 is an abundant number, since it is smaller than the sum of its proper divisors (224716892656).

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

114965922816 is a wasteful number, since it uses less digits than its factorization.

114965922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290176 (or 290155 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 114965922816 in words is "one hundred fourteen billion, nine hundred sixty-five million, nine hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 8256 9216 11008 12384 16512 22016 24768 33024 44032 49536 66048 99072 132096 198144 290107 396288 580214 870321 1160428 1740642 2320856 2610963 3481284 4641712 5221926 6962568 9283424 10443852 12474601 13925136 18566848 20887704 24949202 27850272 37133696 37423803 41775408 49898404 55700544 74267392 74847606 83550816 99796808 111401088 112271409 148534784 149695212 167101632 199593616 222802176 224542818 297069568 299390424 334203264 399187232 445604352 449085636 598780848 668406528 798374464 891208704 898171272 1197561696 1336813056 1596748928 1796342544 2395123392 2673626112 3193497856 3592685088 4790246784 6386995712 7185370176 9580493568 12773991424 14370740352 19160987136 28741480704 38321974272 57482961408 114965922816