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841343343148 = 2271173359104233
BaseRepresentation
bin11000011111000111111…
…10001001101000101100
32222102122122221011212001
430033203332021220230
5102241032343440043
61442301403422044
7114533162264110
oct14174376115054
92872578834761
10841343343148
112a48a2424390
12117084224924
1361452431329
142ca150d7740
1516d42bcb74d
hexc3e3f89a2c

841343343148 has 96 divisors (see below), whose sum is σ = 1866005406720. Its totient is φ = 322402083840.

The previous prime is 841343343131. The next prime is 841343343157.

It is a happy number.

841343343148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 841343343098 and 841343343107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8019640 + ... + 8123872.

It is an arithmetic number, because the mean of its divisors is an integer number (19437556320).

Almost surely, 2841343343148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841343343148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933002703360).

841343343148 is an abundant number, since it is smaller than the sum of its proper divisors (1024662063572).

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

841343343148 is a wasteful number, since it uses less digits than its factorization.

841343343148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104687 (or 104685 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 841343343148 in words is "eight hundred forty-one billion, three hundred forty-three million, three hundred forty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 146 154 292 308 359 511 718 803 1022 1436 1606 2044 2513 3212 3949 5026 5621 7898 10052 11242 15796 22484 26207 27643 52414 55286 104233 104828 110572 183449 208466 288277 366898 416932 576554 729631 733796 1146563 1153108 1459262 2017939 2293126 2918524 4035878 4586252 7609009 8025941 8071756 15218018 16051882 30436036 32103764 37419647 53263063 74839294 83699099 106526126 149678588 167398198 213052252 261937529 334796396 411616117 523875058 585893693 823232234 1047750116 1171787386 1646464468 2343574772 2731634231 2881312819 5463268462 5762625638 10926536924 11525251276 19121439617 30047976541 38242879234 60095953082 76485758468 120191906164 210335835787 420671671574 841343343148