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148421418336 = 25331671028647
BaseRepresentation
bin1000101000111010011…
…0110001110101100000
3112012002202002020221000
42022032212301311200
54412431340341321
6152103414032000
713503010145232
oct2121646616540
9465082066830
10148421418336
1157a44026404
1224922048600
1310cc4505579
14727dc74252
153cda211826
hex228e9b1d60

148421418336 has 96 divisors (see below), whose sum is σ = 435488417280. Its totient is φ = 49177507968.

The previous prime is 148421418319. The next prime is 148421418337. The reversal of 148421418336 is 633814124841.

148421418336 is a `hidden beast` number, since 1 + 48 + 421 + 4 + 183 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148421418291 and 148421418300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148421418337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370036 + ... + 658611.

It is an arithmetic number, because the mean of its divisors is an integer number (4536337680).

Almost surely, 2148421418336 is an apocalyptic number.

148421418336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148421418336 is an abundant number, since it is smaller than the sum of its proper divisors (287066998944).

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

148421418336 is a wasteful number, since it uses less digits than its factorization.

148421418336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028833 (or 1028819 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 148421418336 in words is "one hundred forty-eight billion, four hundred twenty-one million, four hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 167 216 288 334 432 501 668 864 1002 1336 1503 2004 2672 3006 4008 4509 5344 6012 8016 9018 12024 16032 18036 24048 36072 48096 72144 144288 1028647 2057294 3085941 4114588 6171882 8229176 9257823 12343764 16458352 18515646 24687528 27773469 32916704 37031292 49375056 55546938 74062584 98750112 111093876 148125168 171784049 222187752 296250336 343568098 444375504 515352147 687136196 888751008 1030704294 1374272392 1546056441 2061408588 2748544784 3092112882 4122817176 4638169323 5497089568 6184225764 8245634352 9276338646 12368451528 16491268704 18552677292 24736903056 37105354584 49473806112 74210709168 148421418336