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148462314 = 2371113191301
BaseRepresentation
bin10001101100101…
…01101011101010
3101100100200000020
420312111223222
5301001243224
622422021310
73451623510
oct1066255352
9340320006
10148462314
1176891a30
1241877836
13249b1030
1415a084b0
15d078c79
hex8d95aea

148462314 has 128 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 33696000.

The previous prime is 148462297. The next prime is 148462357. The reversal of 148462314 is 413264841.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113464 + ... + 114764.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2148462314 is an apocalyptic number.

148462314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148462314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

148462314 is an abundant number, since it is smaller than the sum of its proper divisors (271510806).

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

148462314 is a wasteful number, since it uses less digits than its factorization.

148462314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356.

The product of its digits is 18432, while the sum is 33.

The square root of 148462314 is about 12184.5112335292. The cubic root of 148462314 is about 529.5074503112.

The spelling of 148462314 in words is "one hundred forty-eight million, four hundred sixty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 231 247 266 273 286 399 418 429 462 494 546 627 741 798 858 1001 1254 1301 1463 1482 1729 2002 2602 2717 2926 3003 3458 3903 4389 5187 5434 6006 7806 8151 8778 9107 10374 14311 16302 16913 18214 19019 24719 27321 28622 33826 38038 42933 49438 50739 54642 57057 74157 85866 100177 101478 114114 118391 148314 173033 186043 200354 236782 271909 300531 321347 346066 355173 372086 519099 543818 558129 601062 642694 710346 815727 964041 1038198 1116258 1302301 1631454 1903363 1928082 2249429 2604602 3534817 3806726 3906903 4498858 5710089 6748287 7069634 7813806 10604451 11420178 13496574 21208902 24743719 49487438 74231157 148462314