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114843322496 = 2771063120577
BaseRepresentation
bin110101011110100110…
…0100000100010000000
3101222102121222020210202
41222331030200202000
53340144342304441
6124431442544332
711203632064130
oct1527514404200
9358377866722
10114843322496
1144783074a81
121a3109680a8
13aaa2a5c3c6
1457b653cac0
152ec240119b
hex1abd320880

114843322496 has 64 divisors (see below), whose sum is σ = 261721783680. Its totient is φ = 49171857408.

The previous prime is 114843322483. The next prime is 114843322519. The reversal of 114843322496 is 694223348411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 114843322496.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892160 + ... + 1012736.

It is an arithmetic number, because the mean of its divisors is an integer number (4089402870).

Almost surely, 2114843322496 is an apocalyptic number.

114843322496 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 114843322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130860891840).

114843322496 is an abundant number, since it is smaller than the sum of its proper divisors (146878461184).

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

114843322496 is a wasteful number, since it uses less digits than its factorization.

114843322496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121661 (or 121649 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The spelling of 114843322496 in words is "one hundred fourteen billion, eight hundred forty-three million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1063 2126 4252 7441 8504 14882 17008 29764 34016 59528 68032 119056 120577 136064 238112 241154 476224 482308 844039 952448 964616 1688078 1929232 3376156 3858464 6752312 7716928 13504624 15433856 27009248 54018496 108036992 128173351 256346702 512693404 897213457 1025386808 1794426914 2050773616 3588853828 4101547232 7177707656 8203094464 14355415312 16406188928 28710830624 57421661248 114843322496