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2034110322432 = 28326491136013
BaseRepresentation
bin11101100110011010011…
…011000101011100000000
321012110101122102202201100
4131212122123011130000
5231311324220304212
64154242443334400
7266650102314156
oct35463233053400
97173348382640
102034110322432
1171473027aa01
1228a283521400
13119a7b366c06
1470646b693d6
1537da28bebdc
hex1d99a6c5700

2034110322432 has 108 divisors (see below), whose sum is σ = 5865788184984. Its totient is φ = 677927331840.

The previous prime is 2034110322397. The next prime is 2034110322479. The reversal of 2034110322432 is 2342230114302.

2034110322432 is a `hidden beast` number, since 2 + 0 + 3 + 411 + 0 + 3 + 2 + 243 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2034110322396 and 2034110322405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14887258 + ... + 15023270.

Almost surely, 22034110322432 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 2034110322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932894092492).

2034110322432 is an abundant number, since it is smaller than the sum of its proper divisors (3831677862552).

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

2034110322432 is a wasteful number, since it uses less digits than its factorization.

2034110322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142526 (or 142509 counting only the distinct ones).

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

Adding to 2034110322432 its reverse (2342230114302), we get a palindrome (4376340436734).

The spelling of 2034110322432 in words is "two trillion, thirty-four billion, one hundred ten million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6491 12982 19473 25964 38946 51928 58419 77892 103856 116838 136013 155784 207712 233676 272026 311568 408039 415424 467352 544052 623136 816078 830848 934704 1088104 1224117 1246272 1632156 1661696 1869408 2176208 2448234 2492544 3264312 3738816 4352416 4896468 4985088 6528624 7477632 8704832 9792936 13057248 14955264 17409664 19585872 26114496 34819328 39171744 52228992 78343488 104457984 156686976 313373952 882860383 1765720766 2648581149 3531441532 5297162298 7062883064 7945743447 10594324596 14125766128 15891486894 21188649192 28251532256 31782973788 42377298384 56503064512 63565947576 84754596768 113006129024 127131895152 169509193536 226012258048 254263790304 339018387072 508527580608 678036774144 1017055161216 2034110322432