Search a number
-
+
146681408148 = 223113373297397
BaseRepresentation
bin1000100010011011100…
…1001010101010010100
3112000121110221120200020
42020212321022222110
54400400420030043
6151215015345140
713411621253232
oct2104671125224
9460543846606
10146681408148
1157230915a60
12245173821b0
1310aa7b8a942
147156b35952
153c375a7e83
hex2226e4aa94

146681408148 has 48 divisors (see below), whose sum is σ = 374478896064. Its totient is φ = 44317002240.

The previous prime is 146681408129. The next prime is 146681408149. The reversal of 146681408148 is 841804186641.

It is a self number, because there is not a number n which added to its sum of digits gives 146681408148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146681408149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604215 + ... + 1693182.

It is an arithmetic number, because the mean of its divisors is an integer number (7801643668).

Almost surely, 2146681408148 is an apocalyptic number.

It is an amenable number.

146681408148 is an abundant number, since it is smaller than the sum of its proper divisors (227797487916).

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

146681408148 is a wasteful number, since it uses less digits than its factorization.

146681408148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297752 (or 3297750 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 146681408148 in words is "one hundred forty-six billion, six hundred eighty-one million, four hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 7414 11121 14828 22242 44484 3297397 6594794 9892191 13189588 19784382 36271367 39568764 72542734 108814101 145085468 217628202 435256404 1111222789 2222445578 3333668367 4444891156 6667336734 12223450679 13334673468 24446901358 36670352037 48893802716 73340704074 146681408148