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148114098 = 232111779557
BaseRepresentation
bin10001101010000…
…00101010110010
3101022200222100100
420311000222302
5300404122343
622410333230
73445643346
oct1065005262
9338628310
10148114098
1176674350
124172a216
13248bb6a2
1415957626
15d00a9d3
hex8d40ab2

148114098 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 41633280.

The previous prime is 148114097. The next prime is 148114111. The reversal of 148114098 is 890411841.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (148114097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265636 + ... + 266192.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2148114098 is an apocalyptic number.

148114098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148114098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

148114098 is an abundant number, since it is smaller than the sum of its proper divisors (227933262).

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

148114098 is a wasteful number, since it uses less digits than its factorization.

148114098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 148114098 is about 12170.2135560556. The cubic root of 148114098 is about 529.0931424525.

The spelling of 148114098 in words is "one hundred forty-eight million, one hundred fourteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 79 99 102 153 158 187 198 237 306 374 474 557 561 711 869 1114 1122 1343 1422 1671 1683 1738 2607 2686 3342 3366 4029 5013 5214 6127 7821 8058 9469 10026 12087 12254 14773 15642 18381 18938 24174 28407 29546 36762 44003 44319 55143 56814 85221 88006 88638 104159 110286 132009 132957 170442 208318 264018 265914 312477 396027 484033 624954 748051 792054 937431 968066 1452099 1496102 1874862 2244153 2904198 4356297 4488306 6732459 8228561 8712594 13464918 16457122 24685683 49371366 74057049 148114098