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14398175148 = 22371973123581
BaseRepresentation
bin11010110100011001…
…01011011110101100
31101011102201002012020
431122030223132230
5213441413101043
610340414510140
71016541320010
oct153214533654
941142632166
1014398175148
116119438105
122959b05350
131485c61986
149a8324540
15594085e83
hex35a32b7ac

14398175148 has 96 divisors (see below), whose sum is σ = 40969904640. Its totient is φ = 3843832320.

The previous prime is 14398175137. The next prime is 14398175159. The reversal of 14398175148 is 84157189341.

It is an interprime number because it is at equal distance from previous prime (14398175137) and next prime (14398175159).

It is a self number, because there is not a number n which added to its sum of digits gives 14398175148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54718 + ... + 178298.

It is an arithmetic number, because the mean of its divisors is an integer number (426769840).

Almost surely, 214398175148 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 14398175148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484952320).

14398175148 is an abundant number, since it is smaller than the sum of its proper divisors (26571729492).

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

14398175148 is a wasteful number, since it uses less digits than its factorization.

14398175148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123687 (or 123685 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 14398175148 in words is "fourteen billion, three hundred ninety-eight million, one hundred seventy-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 73 76 84 114 133 146 219 228 266 292 399 438 511 532 798 876 1022 1387 1533 1596 2044 2774 3066 4161 5548 6132 8322 9709 16644 19418 29127 38836 58254 116508 123581 247162 370743 494324 741486 865067 1482972 1730134 2348039 2595201 3460268 4696078 5190402 7044117 9021413 9392156 10380804 14088234 16436273 18042826 27064239 28176468 32872546 36085652 49308819 54128478 63149891 65745092 98617638 108256956 126299782 171406847 189449673 197235276 252599564 342813694 378899346 514220541 685627388 757798692 1028441082 1199847929 2056882164 2399695858 3599543787 4799391716 7199087574 14398175148