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14518234464 = 253173129257
BaseRepresentation
bin11011000010101101…
…01010110101100000
31101110210121201121120
431201112222311200
5214213132000324
610400344052240
71022526646116
oct154126526540
941423551546
1014518234464
11618018a488
122992164080
1314a4aa98a6
149ba257ab6
1559e89e179
hex3615aad60

14518234464 has 144 divisors (see below), whose sum is σ = 41700327984. Its totient is φ = 4407336960.

The previous prime is 14518234459. The next prime is 14518234487. The reversal of 14518234464 is 46443281541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563724 + ... + 1572980.

It is an arithmetic number, because the mean of its divisors is an integer number (289585611).

Almost surely, 214518234464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14518234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850163992).

14518234464 is an abundant number, since it is smaller than the sum of its proper divisors (27182093520).

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

14518234464 is a wasteful number, since it uses less digits than its factorization.

14518234464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9310 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 14518234464 in words is "fourteen billion, five hundred eighteen million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 961 992 1054 1488 1581 1632 1922 2108 2883 2976 3162 3844 4216 5766 6324 7688 8432 9257 11532 12648 15376 16337 16864 18514 23064 25296 27771 30752 32674 37028 46128 49011 50592 55542 65348 74056 92256 98022 111084 130696 148112 157369 196044 222168 261392 286967 296224 314738 392088 444336 472107 522784 573934 629476 784176 860901 888672 944214 1147868 1258952 1568352 1721802 1888428 2295736 2517904 3443604 3776856 4591472 4878439 5035808 6887208 7553712 8895977 9182944 9756878 13774416 14635317 15107424 17791954 19513756 26687931 27548832 29270634 35583908 39027512 53375862 58541268 71167816 78055024 106751724 117082536 142335632 151231609 156110048 213503448 234165072 284671264 302463218 427006896 453694827 468330144 604926436 854013792 907389654 1209852872 1814779308 2419705744 3629558616 4839411488 7259117232 14518234464