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30140422151344 = 241091272232772203
BaseRepresentation
bin1101101101001100111010…
…01001111101110010110000
310221201101200211202011000021
412312212131021331302300
512422310041032320334
6144034152505133224
76230400521106361
oct666463511756260
9127641624664007
1030140422151344
1196705325aa7aa
1234694ba48a214
1313a82ca5ca22b
14762b38aa7b68
1537404cad73b4
hex1b699d27dcb0

30140422151344 has 160 divisors (see below), whose sum is σ = 59905783562240. Its totient is φ = 14688033647616.

The previous prime is 30140422151339. The next prime is 30140422151347. The reversal of 30140422151344 is 44315122404103.

It is a super-2 number, since 2×301404221513442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30140422151347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13681534147 + ... + 13681536349.

It is an arithmetic number, because the mean of its divisors is an integer number (374411147264).

Almost surely, 230140422151344 is an apocalyptic number.

It is an amenable number.

30140422151344 is a deficient number, since it is larger than the sum of its proper divisors (29765361410896).

30140422151344 is a wasteful number, since it uses less digits than its factorization.

30140422151344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 30140422151344 its reverse (44315122404103), we get a palindrome (74455544555447).

The spelling of 30140422151344 in words is "thirty trillion, one hundred forty billion, four hundred twenty-two million, one hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 109 127 218 223 254 277 436 446 508 554 872 892 1016 1108 1744 1784 2032 2203 2216 3568 4406 4432 8812 13843 17624 24307 27686 28321 30193 35179 35248 48614 55372 56642 60386 61771 70358 97228 110744 113284 120772 123542 140716 194456 221488 226568 240127 241544 247084 279781 281432 388912 453136 480254 483088 491269 494168 559562 562864 610231 960508 982538 988336 1119124 1220462 1921016 1965076 2238248 2440924 3086989 3834511 3842032 3930152 4476496 4881848 6173978 6733039 7669022 7844917 7860304 9763696 12347956 13466078 15338044 15689834 24695912 26932156 30496129 30676088 31379668 49391824 53548321 53864312 60992258 61352176 62391163 62759336 66515179 77499337 107096642 107728624 121984516 124782326 125518672 133030358 136081513 154998674 214193284 243969032 249564652 266060716 272163026 309997348 428386568 487938064 499129304 532121432 544326052 619994696 855095953 856773136 998258608 1064242864 1088652104 1239989392 1710191906 2177304208 3420383812 6800636767 6840767624 8447427733 13601273534 13681535248 14832884917 16894855466 17282352151 27202547068 29665769834 33789710932 34564704302 54405094136 59331539668 67579421864 69129408604 108810188272 118663079336 135158843728 138258817208 237326158672 276517634416 1883776384459 3767552768918 7535105537836 15070211075672 30140422151344