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412441143348 = 223137173510101
BaseRepresentation
bin1100000000001110110…
…10000110100000110100
31110102120201202221020210
412000013122012200310
523224134413041343
6513250045025420
741540450605653
oct6000732064064
91412521687223
10412441143348
11149a08300553
1267b25855270
132cb7bcbb520
1415d6861519a
15aaddc58333
hex6007686834

412441143348 has 96 divisors (see below), whose sum is σ = 1065386794752. Its totient is φ = 123403392000.

The previous prime is 412441143347. The next prime is 412441143349. The reversal of 412441143348 is 843341144214.

It is an interprime number because it is at equal distance from previous prime (412441143347) and next prime (412441143349).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412441143347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553498 + ... + 1063598.

It is an arithmetic number, because the mean of its divisors is an integer number (11097779112).

Almost surely, 2412441143348 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 412441143348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532693397376).

412441143348 is an abundant number, since it is smaller than the sum of its proper divisors (652945651404).

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

412441143348 is a wasteful number, since it uses less digits than its factorization.

412441143348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510265 (or 510263 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 412441143348 in words is "four hundred twelve billion, four hundred forty-one million, one hundred forty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 73 78 142 146 156 213 219 284 292 426 438 852 876 923 949 1846 1898 2769 2847 3692 3796 5183 5538 5694 10366 11076 11388 15549 20732 31098 62196 67379 134758 202137 269516 404274 510101 808548 1020202 1530303 2040404 3060606 6121212 6631313 13262626 19893939 26525252 36217171 37237373 39787878 72434342 74474746 79575756 108651513 111712119 144868684 148949492 217303026 223424238 434606052 446848476 470823223 484085849 941646446 968171698 1412469669 1452257547 1883292892 1936343396 2643853483 2824939338 2904515094 5287706966 5649878676 5809030188 7931560449 10575413932 15863120898 31726241796 34370095279 68740190558 103110285837 137480381116 206220571674 412441143348