Search a number
-
+
14124443340402 = 23319611949115793
BaseRepresentation
bin1100110110001001101001…
…1011011000111001110010
31212000021122202000122102000
43031202122123120321302
53322403324443343102
650012402451434430
72655312605321133
oct315423233307162
955007582018360
1014124443340402
11455616305115a
1217014b35b5a16
137b5c10867405
1436b8ab971c8a
15197620eee01c
hexcd89a6d8e72

14124443340402 has 128 divisors (see below), whose sum is σ = 33598787040000. Its totient is φ = 4384941143040.

The previous prime is 14124443340389. The next prime is 14124443340433. The reversal of 14124443340402 is 20404334442141.

14124443340402 is a `hidden beast` number, since 1 + 4 + 1 + 244 + 4 + 3 + 3 + 4 + 0 + 402 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 121922218 + ... + 122038010.

It is an arithmetic number, because the mean of its divisors is an integer number (262490523750).

Almost surely, 214124443340402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124443340402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799393520000).

14124443340402 is an abundant number, since it is smaller than the sum of its proper divisors (19474343699598).

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

14124443340402 is a wasteful number, since it uses less digits than its factorization.

14124443340402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117833 (or 117827 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14124443340402 its reverse (20404334442141), we get a palindrome (34528777782543).

The spelling of 14124443340402 in words is "fourteen trillion, one hundred twenty-four billion, four hundred forty-three million, three hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 1949 2318 3294 3477 3898 5847 6954 10431 11694 17541 20862 31293 35082 37031 52623 62586 74062 105246 111093 115793 118889 222186 231586 237778 333279 347379 356667 666558 694758 713334 999837 1042137 1070001 1999674 2084274 2140002 2200067 2258891 3126411 3210003 4400134 4517782 6252822 6420006 6600201 6776673 7063373 13200402 13553346 14126746 19800603 20330019 21190119 39601206 40660038 42380238 59401809 60990057 63570357 118803618 121980114 127140714 134204087 190711071 225680557 268408174 381422142 402612261 451361114 677041671 805224522 1207836783 1354083342 2031125013 2415673566 3623510349 4062250026 4287930583 6093375039 7247020698 8575861166 12186750078 12863791749 13766513977 25727583498 27533027954 38591375247 41299541931 77182750494 82599083862 115774125741 123898625793 231548251482 247797251586 261563765563 371695877379 523127531126 743391754758 784691296689 1569382593378 2354073890067 4708147780134 7062221670201 14124443340402