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114726414144 = 2632069288803
BaseRepresentation
bin110101011011000111…
…0100010011101000000
3101222010110222200200210
41222312032202131000
53334424430223034
6124412105114120
711201012300346
oct1526616423500
9358113880623
10114726414144
1144723085001
121a299788940
13aa84778774
1457a4bc9996
152eb700b8e9
hex1ab63a2740

114726414144 has 56 divisors (see below), whose sum is σ = 303694734240. Its totient is φ = 38223522304.

The previous prime is 114726414079. The next prime is 114726414157. The reversal of 114726414144 is 441414627411.

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 7 ways as a sum of consecutive naturals, for example, 252847 + ... + 541649.

Almost surely, 2114726414144 is an apocalyptic number.

It is an amenable number.

114726414144 is an abundant number, since it is smaller than the sum of its proper divisors (188968320096).

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

114726414144 is a wasteful number, since it uses less digits than its factorization.

114726414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290887 (or 290877 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The spelling of 114726414144 in words is "one hundred fourteen billion, seven hundred twenty-six million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2069 4138 6207 8276 12414 16552 24828 33104 49656 66208 99312 132416 198624 288803 397248 577606 866409 1155212 1732818 2310424 3465636 4620848 6931272 9241696 13862544 18483392 27725088 55450176 597533407 1195066814 1792600221 2390133628 3585200442 4780267256 7170400884 9560534512 14340801768 19121069024 28681603536 38242138048 57363207072 114726414144