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34244104662141 = 31117439139045979
BaseRepresentation
bin1111100100101000100111…
…01100011010110001111101
311111020201000112101010022220
413302110103230122301331
513442023411243142031
6200455305143155553
710133024556654213
oct762242354326175
9144221015333286
1034244104662141
11aa02930381320
123a108a1445bb9
131615288b1466a
148655d0174cb3
153e5b7b23b596
hex1f2513b1ac7d

34244104662141 has 32 divisors (see below), whose sum is σ = 52859719756800. Its totient is φ = 19488684276480.

The previous prime is 34244104662137. The next prime is 34244104662151. The reversal of 34244104662141 is 14126640144243.

It is not a de Polignac number, because 34244104662141 - 22 = 34244104662137 is a prime.

It is a super-2 number, since 2×342441046621412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34244104662093 and 34244104662102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244104662151) 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, 69276711 + ... + 69769268.

It is an arithmetic number, because the mean of its divisors is an integer number (1651866242400).

Almost surely, 234244104662141 is an apocalyptic number.

It is an amenable number.

34244104662141 is a deficient number, since it is larger than the sum of its proper divisors (18615615094659).

34244104662141 is a wasteful number, since it uses less digits than its factorization.

34244104662141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139046449.

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 34244104662141 in words is "thirty-four trillion, two hundred forty-four billion, one hundred four million, six hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 439 561 1317 4829 7463 14487 22389 82093 246279 139045979 417137937 1529505769 2363781643 4588517307 7091344929 26001598073 61041184781 78004794219 183123554343 671453032591 1037700141277 2014359097773 3113100423831 11414701554047 34244104662141