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34240141104 = 2431394757943
BaseRepresentation
bin11111111000110111…
…110001011100110000
310021101020212101111020
4133320313301130300
51030110434003404
623421341015440
72321334253161
oct377067613460
9107336771436
1034240141104
1113580737884
126776b54580
1332c8986930
14192b62d768
15d55ed6ed9
hex7f8df1730

34240141104 has 80 divisors (see below), whose sum is σ = 95360063232. Its totient is φ = 10524121344.

The previous prime is 34240141081. The next prime is 34240141121. The reversal of 34240141104 is 40114104243.

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, 561957 + ... + 619899.

Almost surely, 234240141104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47680031616).

34240141104 is an abundant number, since it is smaller than the sum of its proper divisors (61119922128).

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

34240141104 is a wasteful number, since it uses less digits than its factorization.

34240141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58914 (or 58908 counting only the distinct ones).

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

Adding to 34240141104 its reverse (40114104243), we get a palindrome (74354245347).

The spelling of 34240141104 in words is "thirty-four billion, two hundred forty million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 947 1894 2841 3788 5682 7576 11364 12311 15152 22728 24622 36933 45456 49244 57943 73866 98488 115886 147732 173829 196976 231772 295464 347658 463544 590928 695316 753259 927088 1390632 1506518 2259777 2781264 3013036 4519554 6026072 9039108 12052144 18078216 36156432 54872021 109744042 164616063 219488084 329232126 438976168 658464252 713336273 877952336 1316928504 1426672546 2140008819 2633857008 2853345092 4280017638 5706690184 8560035276 11413380368 17120070552 34240141104