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34130034024012 = 22321761914229991
BaseRepresentation
bin1111100001010100001001…
…00011011101111001001100
311110211210120202100022012200
413300222010203131321030
513433141302202232022
6200331042101401500
710121546026355133
oct760520443357114
9143753522308180
1034130034024012
11a969514490573
1239b2767409290
1316075aa192c54
1485dc8c4d091a
153e2c01ab8bac
hex1f0a848dde4c

34130034024012 has 72 divisors (see below), whose sum is σ = 92845541067552. Its totient is φ = 10531929484800.

The previous prime is 34130034024001. The next prime is 34130034024013. The reversal of 34130034024012 is 21042043003143.

34130034024012 is a `hidden beast` number, since 3 + 4 + 1 + 300 + 340 + 2 + 4 + 0 + 12 = 666.

It is a super-2 number, since 2×341300340240122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34130034024013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457077664 + ... + 457152327.

It is an arithmetic number, because the mean of its divisors is an integer number (1289521403716).

Almost surely, 234130034024012 is an apocalyptic number.

It is an amenable number.

34130034024012 is an abundant number, since it is smaller than the sum of its proper divisors (58715507043540).

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

34130034024012 is a wasteful number, since it uses less digits than its factorization.

34130034024012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914230079 (or 914230074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34130034024012 its reverse (21042043003143), we get a palindrome (55172077027155).

The spelling of 34130034024012 in words is "thirty-four trillion, one hundred thirty billion, thirty-four million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12444 18666 37332 914229991 1828459982 2742689973 3656919964 5485379946 8228069919 10970759892 15541909847 16456139838 31083819694 32912279676 46625729541 55768029451 62167639388 93251459082 111536058902 139877188623 167304088353 186502918164 223072117804 279754377246 334608176706 501912265059 559508754492 669216353412 948056500667 1003824530118 1896113001334 2007649060236 2844169502001 3792226002668 5688339004002 8532508506003 11376678008004 17065017012006 34130034024012