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114253404576 = 2533164359707
BaseRepresentation
bin110101001101000001…
…0001001100110100000
3101220220111221022112220
41222122002021212200
53332442332421301
6124253130551040
711153206625613
oct1523202114640
9356814838486
10114253404576
1144500082a03
121a187298480
13aa0a78384c
14575c05c17a
152e8a725936
hex1a9a0899a0

114253404576 has 96 divisors (see below), whose sum is σ = 310076540928. Its totient is φ = 36798001920.

The previous prime is 114253404571. The next prime is 114253404581. The reversal of 114253404576 is 675404352411.

It is an interprime number because it is at equal distance from previous prime (114253404571) and next prime (114253404581).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114253404571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883715 + ... + 1943421.

It is an arithmetic number, because the mean of its divisors is an integer number (3229963968).

Almost surely, 2114253404576 is an apocalyptic number.

114253404576 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 114253404576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155038270464).

114253404576 is an abundant number, since it is smaller than the sum of its proper divisors (195823136352).

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

114253404576 is a wasteful number, since it uses less digits than its factorization.

114253404576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60394 (or 60386 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 114253404576 its reverse (675404352411), we get a palindrome (789657756987).

The spelling of 114253404576 in words is "one hundred fourteen billion, two hundred fifty-three million, four hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 643 744 992 1286 1488 1929 2572 2976 3858 5144 7716 10288 15432 19933 20576 30864 39866 59707 59799 61728 79732 119414 119598 159464 179121 238828 239196 318928 358242 477656 478392 637856 716484 955312 956784 1432968 1850917 1910624 1913568 2865936 3701834 5552751 5731872 7403668 11105502 14807336 22211004 29614672 38391601 44422008 59229344 76783202 88844016 115174803 153566404 177688032 230349606 307132808 460699212 614265616 921398424 1190139631 1228531232 1842796848 2380279262 3570418893 3685593696 4760558524 7140837786 9521117048 14281675572 19042234096 28563351144 38084468192 57126702288 114253404576