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3424144010100 = 22352111605764621
BaseRepresentation
bin110001110100111110111…
…000110010101101110100
3110010100022111001102212020
4301310332320302231310
5422100121331310400
611141010253353140
7502246323600102
oct61647670625564
913110274042766
103424144010100
111100198032230
12473756a987b0
131bab84249c48
14bba2d8a0c72
155e10aac82a0
hex31d3ee32b74

3424144010100 has 144 divisors (see below), whose sum is σ = 10808683991616. Its totient is φ = 830030976000.

The previous prime is 3424144010057. The next prime is 3424144010153. The reversal of 3424144010100 is 10104414243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52955790 + ... + 53020410.

Almost surely, 23424144010100 is an apocalyptic number.

3424144010100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424144010100 is an abundant number, since it is smaller than the sum of its proper divisors (7384539981516).

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

3424144010100 is a wasteful number, since it uses less digits than its factorization.

3424144010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80706 (or 80699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3424144010100 its reverse (10104414243), we get a palindrome (3434248424343).

The spelling of 3424144010100 in words is "three trillion, four hundred twenty-four billion, one hundred forty-four million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 16057 32114 48171 64228 64621 80285 96342 129242 160570 176627 192684 193863 240855 258484 321140 323105 353254 387726 401425 481710 529881 646210 706508 710831 775452 802850 883135 963420 969315 1059762 1204275 1292420 1421662 1605700 1615525 1766270 1938630 2119524 2132493 2408550 2649405 2843324 3231050 3532540 3554155 3877260 4264986 4415675 4817100 4846575 5298810 6462100 7108310 8529972 8831350 9693150 10597620 10662465 13247025 14216620 17662700 17770775 19386300 21324930 26494050 35541550 42649860 52988100 53312325 71083100 106624650 213249300 1037619397 2075238794 3112858191 4150477588 5188096985 6225716382 10376193970 11413813367 12451432764 15564290955 20752387940 22827626734 25940484925 31128581910 34241440101 45655253468 51880969850 57069066835 62257163820 68482880202 77821454775 103761939700 114138133670 136965760404 155642909550 171207200505 228276267340 285345334175 311285819100 342414401010 570690668350 684828802020 856036002525 1141381336700 1712072005050 3424144010100