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114871760352 = 25321867213637
BaseRepresentation
bin110101011111011100…
…0111111010111100000
3101222111121111001012200
41222332320333113200
53340224132312402
6124434340253200
711204425565256
oct1527670772740
9358447431180
10114871760352
1144798128838
121a31a3a1200
13aaa890833b
1457ba2225d6
152ec4b6c21c
hex1abee3f5e0

114871760352 has 72 divisors (see below), whose sum is σ = 326843067096. Its totient is φ = 38269898496.

The previous prime is 114871760321. The next prime is 114871760357. The reversal of 114871760352 is 253067178411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 114871760298 and 114871760307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114871760357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430878 + ... + 644514.

It is an arithmetic number, because the mean of its divisors is an integer number (4539487043).

Almost surely, 2114871760352 is an apocalyptic number.

114871760352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114871760352 is an abundant number, since it is smaller than the sum of its proper divisors (211971306744).

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

114871760352 is a wasteful number, since it uses less digits than its factorization.

114871760352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215520 (or 215509 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 114871760352 in words is "one hundred fourteen billion, eight hundred seventy-one million, seven hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1867 3734 5601 7468 11202 14936 16803 22404 29872 33606 44808 59744 67212 89616 134424 179232 213637 268848 427274 537696 640911 854548 1281822 1709096 1922733 2563644 3418192 3845466 5127288 6836384 7690932 10254576 15381864 20509152 30763728 61527456 398860279 797720558 1196580837 1595441116 2393161674 3190882232 3589742511 4786323348 6381764464 7179485022 9572646696 12763528928 14358970044 19145293392 28717940088 38290586784 57435880176 114871760352