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148741285636944 = 2433711134017191193
BaseRepresentation
bin100001110100011110000111…
…011111100110101101010000
3201111122112020221100000001000
4201310132013133212231100
5123443434123110340234
61244202445302542000
743221126501202320
oct4164360737465520
9644575227300030
10148741285636944
1143436909079190
1214823083737900
1364cc320ca0560
1428a318c0a1280
15122e17ece5899
hex8747877e6b50

148741285636944 has 1280 divisors, whose sum is σ = 575948736921600. Its totient is φ = 35494060032000.

The previous prime is 148741285636913. The next prime is 148741285636949. The reversal of 148741285636944 is 449636582147841.

148741285636944 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 4 + 12 + 8 + 563 + 6 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148741285636949) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124678361212 + ... + 124678362404.

It is an arithmetic number, because the mean of its divisors is an integer number (449959950720).

Almost surely, 2148741285636944 is an apocalyptic number.

148741285636944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148741285636944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287974368460800).

148741285636944 is an abundant number, since it is smaller than the sum of its proper divisors (427207451284656).

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

148741285636944 is a wasteful number, since it uses less digits than its factorization.

148741285636944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2349 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 148741285636944 in words is "one hundred forty-eight trillion, seven hundred forty-one billion, two hundred eighty-five million, six hundred thirty-six thousand, nine hundred forty-four".