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2034111025044 = 2233716991583651
BaseRepresentation
bin11101100110011010011…
…101110000111110010100
321012110101200202110112000
4131212122131300332110
5231311324410300134
64154242510355300
7266650111301460
oct35463235607624
97173350673460
102034111025044
1171473070a87a
1228a2837bbb30
13119a7b551967
1470646cad4a0
1537da29ace99
hex1d99a770f94

2034111025044 has 96 divisors (see below), whose sum is σ = 6030546816000. Its totient is φ = 580832143200.

The previous prime is 2034111025043. The next prime is 2034111025097. The reversal of 2034111025044 is 4405201114302.

2034111025044 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 110 + 2 + 504 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2034111024999 and 2034111025017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034111025043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492619 + ... + 2076269.

It is an arithmetic number, because the mean of its divisors is an integer number (62818196000).

Almost surely, 22034111025044 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 2034111025044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015273408000).

2034111025044 is an abundant number, since it is smaller than the sum of its proper divisors (3996435790956).

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

2034111025044 is a wasteful number, since it uses less digits than its factorization.

2034111025044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585370 (or 1585362 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2034111025044 its reverse (4405201114302), we get a palindrome (6439312139346).

The spelling of 2034111025044 in words is "two trillion, thirty-four billion, one hundred eleven million, twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1699 3398 5097 6796 10194 11893 15291 20388 23786 30582 35679 45873 47572 61164 71358 91746 107037 142716 183492 214074 321111 428148 642222 1284444 1583651 3167302 4750953 6334604 9501906 11085557 14252859 19003812 22171114 28505718 33256671 42758577 44342228 57011436 66513342 85517154 99770013 133026684 171034308 199540026 299310039 399080052 598620078 1197240156 2690623049 5381246098 8071869147 10762492196 16143738294 18834361343 24215607441 32287476588 37668722686 48431214882 56503084029 72646822323 75337445372 96862429764 113006168058 145293644646 169509252087 226012336116 290587289292 339018504174 508527756261 678037008348 1017055512522 2034111025044