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401447323744104 = 2331121047713194563
BaseRepresentation
bin101101101000111010011110…
…1001000001011011101101000
31221122101222201020020012022210
41123101310331020023131220
5410104303104334302404
63541450204325445120
7150362416630523661
oct13321647510133550
91848358636205283
10401447323744104
11106a059435a8300
12390372205707a0
1314300421602571
14711c222d72368
153162875bdd689
hex16d1d3d20b768

401447323744104 has 96 divisors (see below), whose sum is σ = 1103256079904160. Its totient is φ = 121639083730560.

The previous prime is 401447323744073. The next prime is 401447323744111.

401447323744104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014473237441042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23827927 + ... + 37022489.

It is an arithmetic number, because the mean of its divisors is an integer number (11492250832335).

Almost surely, 2401447323744104 is an apocalyptic number.

401447323744104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401447323744104 is an abundant number, since it is smaller than the sum of its proper divisors (701808756160056).

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

401447323744104 is a wasteful number, since it uses less digits than its factorization.

401447323744104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205071 (or 13205056 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 48.

The spelling of 401447323744104 in words is "four hundred one trillion, four hundred forty-seven billion, three hundred twenty-three million, seven hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 10477 20954 31431 41908 62862 83816 115247 125724 230494 251448 345741 460988 691482 921976 1267717 1382964 2535434 2765928 3803151 5070868 7606302 10141736 13194563 15212604 26389126 30425208 39583689 52778252 79167378 105556504 145140193 158334756 290280386 316669512 435420579 580560772 870841158 1161121544 1596542123 1741682316 3193084246 3483364632 4789626369 6386168492 9579252738 12772336984 19158505476 38317010952 138239436551 276478873102 414718309653 552957746204 829436619306 1105915492408 1520633802061 1658873238612 3041267604122 3317746477224 4561901406183 6082535208244 9123802812366 12165070416488 16726971822671 18247605624732 33453943645342 36495211249464 50180915468013 66907887290684 100361830936026 133815774581368 200723661872052 401447323744104