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3344400100041 = 3711133730099631
BaseRepresentation
bin110000101010101101110…
…001111010101011001001
3102211201110222211002012220
4300222231301322223021
5414243312411200131
611040221324524253
7463424231543310
oct60525561725311
912751428732186
103344400100041
11107a396739330
124602009b0689
131b34b61aa750
14b7c26b49277
155beded42e96
hex30aadc7aac9

3344400100041 has 64 divisors (see below), whose sum is σ = 6148993622016. Its totient is φ = 1560364819200.

The previous prime is 3344400099979. The next prime is 3344400100057. The reversal of 3344400100041 is 1400010044433.

It is not a de Polignac number, because 3344400100041 - 213 = 3344400091849 is a prime.

It is a super-2 number, since 2×33444001000412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344400099984 and 3344400100020.

It is not an unprimeable number, because it can be changed into a prime (3344400100061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14938705 + ... + 15160926.

It is an arithmetic number, because the mean of its divisors is an integer number (96078025344).

Almost surely, 23344400100041 is an apocalyptic number.

It is an amenable number.

3344400100041 is a deficient number, since it is larger than the sum of its proper divisors (2804593521975).

3344400100041 is a wasteful number, since it uses less digits than its factorization.

3344400100041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30099702.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3344400100041 its reverse (1400010044433), we get a palindrome (4744410144474).

The spelling of 3344400100041 in words is "three trillion, three hundred forty-four billion, four hundred million, one hundred thousand, forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 30099631 90298893 210697417 331095941 391295203 632092251 993287823 1113686347 1173885609 2317671587 2739066421 3341059041 4304247233 6953014761 7795804429 8217199263 12250549817 12912741699 14477922511 23387413287 30129730631 36751649451 43433767533 85753848719 90389191893 101345457577 159257147621 257261546157 304036372731 477771442863 1114800033347 3344400100041