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34002222440043 = 311132929333128181
BaseRepresentation
bin1111011101100110000100…
…11000111101111001101011
311110101120200100022010000110
413232303002120331321223
513424043022421040133
6200152223315505403
710106402525002344
oct756630230757153
9143346610263013
1034002222440043
11a91a297149830
123991a375b8263
1315c851b7c5260
14857a059290cb
153de720e34c63
hex1eecc263de6b

34002222440043 has 128 divisors (see below), whose sum is σ = 55455899304960. Its totient is φ = 18247654656000.

The previous prime is 34002222440027. The next prime is 34002222440051. The reversal of 34002222440043 is 34004422220043.

It is not a de Polignac number, because 34002222440043 - 24 = 34002222440027 is a prime.

It is a super-2 number, since 2×340022224400432 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34002226440043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1206551413 + ... + 1206579593.

It is an arithmetic number, because the mean of its divisors is an integer number (433249213320).

Almost surely, 234002222440043 is an apocalyptic number.

34002222440043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34002222440043 is a deficient number, since it is larger than the sum of its proper divisors (21453676864917).

34002222440043 is a wasteful number, since it uses less digits than its factorization.

34002222440043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34002222440043 its reverse (34004422220043), we get a palindrome (68006644660086).

The spelling of 34002222440043 in words is "thirty-four trillion, two billion, two hundred twenty-two million, four hundred forty thousand, forty-three".

Divisors: 1 3 11 13 29 33 39 87 143 293 319 331 377 429 879 957 993 1131 3223 3641 3809 4147 4303 8497 9599 9669 10923 11427 12441 12909 25491 28181 28797 41899 47333 84543 93467 96983 105589 110461 124787 125697 141999 280401 290949 309991 316767 331383 366353 374361 817249 929973 1066813 1099059 1215071 1260779 1372657 2451747 2812507 3200439 3645213 3782337 4029883 4117971 8257033 8437521 8989739 9327911 10624237 12089649 13868569 24771099 26969217 27983733 30937577 31872711 36562591 41605707 90827363 92812731 102607021 107341429 109687773 116866607 121262843 239453957 270509419 272482089 307821063 322024287 350599821 363788529 402188501 718361871 811528257 1180755719 1206565503 1333891273 2633993527 2733077923 2975603609 3112901441 3516622447 3542267157 4001673819 7901980581 8199233769 8926810827 9338704323 10549867341 30063857153 34241915851 35530012999 38682846917 79259259767 90191571459 102725747553 106590038997 116048540751 237777779301 390830142989 871851857437 1030370376971 1172490428967 2615555572311 3091111130913 11334074146681 34002222440043