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344441045881 = 172192232792
BaseRepresentation
bin1010000001100100100…
…10010100001101111001
31012221001200121001220101
411000302102110031321
521120403401432011
6422122314555401
733612366403642
oct5006222241571
91187050531811
10344441045881
11123092a99899
1256908738b61
1326632cb5a6a
14129574706c9
158e5dedb2c1
hex5032494379

344441045881 has 81 divisors (see below), whose sum is σ = 408859669071. Its totient is φ = 290046227328.

The previous prime is 344441045857. The next prime is 344441045899. The reversal of 344441045881 is 188540144443.

The square root of 344441045881 is 586891.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 268163444025 + 76277601856 = 517845^2 + 276184^2 .

It is not a de Polignac number, because 344441045881 - 29 = 344441045369 is a prime.

It is a super-2 number, since 2×3444410458812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344441045831) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4360013200 + ... + 4360013278.

Almost surely, 2344441045881 is an apocalyptic number.

344441045881 is the 586891-st square number.

344441045881 is the 293446-th centered octagonal number.

It is an amenable number.

344441045881 is a deficient number, since it is larger than the sum of its proper divisors (64418623190).

344441045881 is an equidigital number, since it uses as much as digits as its factorization.

344441045881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 344441045881 in words is "three hundred forty-four billion, four hundred forty-one million, forty-five thousand, eight hundred eighty-one".

Divisors: 1 17 19 23 79 289 323 361 391 437 529 1343 1501 1817 5491 6137 6241 6647 7429 8303 8993 10051 22831 25517 28519 30889 34523 41791 104329 106097 118579 126293 141151 143543 152881 170867 190969 433789 484823 525113 586891 655937 710447 794029 1803649 2015843 2253001 2399567 2440231 2727317 2904739 3246473 3301489 8241991 9977147 11150929 12077599 13498493 15086551 34269331 38301017 41483927 46364389 51819023 55190041 56125313 62728291 189565793 229474381 256471367 651117289 788194613 880923391 954130321 1066380947 1191837529 4360013239 14975697647 18128476099 20261237993 344441045881