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34002121430004 = 22371366147106617
BaseRepresentation
bin1111011101100101111000…
…10111101001001111110100
311110101120102022020021021220
413232302330113221033310
513424042321041230004
6200152205310510340
710106400160302420
oct756627427511764
9143346368207256
1034002121430004
11a91a245128462
123991a098053b0
1315c85038b9ac0
148579d6353b80
153de717130dd9
hex1eecbc5e93f4

34002121430004 has 96 divisors (see below), whose sum is σ = 97794846379776. Its totient is φ = 8954025569280.

The previous prime is 34002121429951. The next prime is 34002121430041. The reversal of 34002121430004 is 40003412120043.

It is a super-2 number, since 2×340021214300042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22831497 + ... + 24275120.

It is an arithmetic number, because the mean of its divisors is an integer number (1018696316456).

Almost surely, 234002121430004 is an apocalyptic number.

It is an amenable number.

34002121430004 is an abundant number, since it is smaller than the sum of its proper divisors (63792724949772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34002121430004 is a wasteful number, since it uses less digits than its factorization.

34002121430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47107305 (or 47107303 counting only the distinct ones).

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

Adding to 34002121430004 its reverse (40003412120043), we get a palindrome (74005533550047).

The spelling of 34002121430004 in words is "thirty-four trillion, two billion, one hundred twenty-one million, four hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 661 1092 1322 1983 2644 3966 4627 7932 8593 9254 13881 17186 18508 25779 27762 34372 51558 55524 60151 103116 120302 180453 240604 360906 721812 47106617 94213234 141319851 188426468 282639702 329746319 565279404 612386021 659492638 989238957 1224772042 1318985276 1837158063 1978477914 2449544084 3674316126 3956955828 4286702147 7348632252 8573404294 12860106441 17146808588 25720212882 31137473837 51440425764 62274947674 93412421511 124549895348 186824843022 217962316859 373649686044 404787159881 435924633718 653886950577 809574319762 871849267436 1214361479643 1307773901154 1619148639524 2428722959286 2615547802308 2833510119167 4857445918572 5667020238334 8500530357501 11334040476668 17001060715002 34002121430004