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4411235343345 = 3523471513315443
BaseRepresentation
bin100000000110001001000…
…0111011001101111110001
3120121201011120112122112120
41000030102013121233301
51034233202221441340
613214254334344453
7633462344516145
oct100142207315761
916551146478476
104411235343345
111450881394796
125b2b1595b129
1325cc9304181c
1411370d755225
1579b2de2e4d0
hex403121d9bf1

4411235343345 has 128 divisors (see below), whose sum is σ = 7595624890368. Its totient is φ = 2180892384000.

The previous prime is 4411235343329. The next prime is 4411235343349. The reversal of 4411235343345 is 5433435321144.

It is not a de Polignac number, because 4411235343345 - 24 = 4411235343329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4411235343297 and 4411235343306.

It is not an unprimeable number, because it can be changed into a prime (4411235343349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 810439194 + ... + 810444636.

It is an arithmetic number, because the mean of its divisors is an integer number (59340819456).

Almost surely, 24411235343345 is an apocalyptic number.

It is an amenable number.

4411235343345 is a deficient number, since it is larger than the sum of its proper divisors (3184389547023).

4411235343345 is a wasteful number, since it uses less digits than its factorization.

4411235343345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003.

The product of its digits is 1036800, while the sum is 42.

The spelling of 4411235343345 in words is "four trillion, four hundred eleven billion, two hundred thirty-five million, three hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 23 47 69 115 141 151 235 331 345 453 705 755 993 1081 1655 2265 3243 3473 4965 5405 5443 7097 7613 10419 15557 16215 16329 17365 21291 22839 27215 35485 38065 46671 49981 52095 77785 81645 106455 114195 125189 149943 163231 233355 249905 255821 357811 375567 489693 625945 749715 767463 816155 821893 1073433 1149563 1279105 1789055 1801633 1877835 2349107 2448465 2465679 3448689 3837315 4109465 5367165 5404899 5747815 5883883 7047321 9008165 11745535 12328395 17243445 17651649 18903539 27024495 29419415 35236605 38628971 41437559 54029461 56710617 84676751 88258245 94517695 115886913 124312677 162088383 193144855 207187795 254030253 270147305 272046583 283553085 423383755 579434565 621563385 810441915 816139749 888466333 1270151265 1360232915 1947565273 2665398999 4080698745 4442331665 5842695819 6257071409 9737826365 12786189401 13326994995 18771214227 29213479095 31285357045 38358568203 63930947005 93856071135 191792841015 294082356223 882247068669 1470411781115 4411235343345