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30414102031104 = 2831111331859771
BaseRepresentation
bin1101110101001010101011…
…01111110110101100000000
310222200120010001201112102020
412322211111233312230000
512441301040104443404
6144404013502521440
76256226541520431
oct672452557665400
9128616101645366
1030414102031104
119766603780110
1234b2559296280
1313c806456159c
1477209c3c5488
1537b21975bed9
hex1ba955bf6b00

30414102031104 has 144 divisors (see below), whose sum is σ = 89086039588224. Its totient is φ = 9134833254400.

The previous prime is 30414102031063. The next prime is 30414102031127. The reversal of 30414102031104 is 40113020141403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14975262 + ... + 16884509.

It is an arithmetic number, because the mean of its divisors is an integer number (618653052696).

Almost surely, 230414102031104 is an apocalyptic number.

It is an amenable number.

30414102031104 is an abundant number, since it is smaller than the sum of its proper divisors (58671937557120).

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

30414102031104 is a wasteful number, since it uses less digits than its factorization.

30414102031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31859914 (or 31859900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30414102031104 its reverse (40113020141403), we get a palindrome (70527122172507).

The spelling of 30414102031104 in words is "thirty trillion, four hundred fourteen billion, one hundred two million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 256 264 339 352 384 452 528 678 704 768 904 1056 1243 1356 1408 1808 2112 2486 2712 2816 3616 3729 4224 4972 5424 7232 7458 8448 9944 10848 14464 14916 19888 21696 28928 29832 39776 43392 59664 79552 86784 119328 159104 238656 318208 477312 954624 31859771 63719542 95579313 127439084 191158626 254878168 350457481 382317252 509756336 700914962 764634504 1019512672 1051372443 1401829924 1529269008 2039025344 2102744886 2803659848 3058538016 3600154123 4078050688 4205489772 5607319696 6117076032 7200308246 8156101376 8410979544 10800462369 11214639392 12234152064 14400616492 16821959088 21600924738 22429278784 24468304128 28801232984 33643918176 39601695353 43201849476 44858557568 57602465968 67287836352 79203390706 86403698952 89717115136 115204931936 118805086059 134575672704 158406781412 172807397904 230409863872 237610172118 269151345408 316813562824 345614795808 460819727744 475220344236 633627125648 691229591616 921639455488 950440688472 1267254251296 1382459183232 1900881376944 2534508502592 2764918366464 3801762753888 5069017005184 7603525507776 10138034010368 15207051015552 30414102031104