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2134145052 = 2232133723331
BaseRepresentation
bin111111100110100…
…0111100000011100
312111201202210122100
41333031013200130
513332320120202
6551434045100
7103612635144
oct17715074034
95451683570
102134145052
119a573a846
124b6879790
132801b4730
14163617924
15c755e41c
hex7f34781c

2134145052 has 108 divisors (see below), whose sum is σ = 5972669976. Its totient is φ = 638720640.

The previous prime is 2134145033. The next prime is 2134145087. The reversal of 2134145052 is 2505414312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 639027 + ... + 642357.

Almost surely, 22134145052 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 2134145052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986334988).

2134145052 is an abundant number, since it is smaller than the sum of its proper divisors (3838524924).

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

2134145052 is a wasteful number, since it uses less digits than its factorization.

2134145052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2134145052 is about 46196.8078117958. The cubic root of 2134145052 is about 1287.4824308031.

Adding to 2134145052 its reverse (2505414312), we get a palindrome (4639559364).

The spelling of 2134145052 in words is "two billion, one hundred thirty-four million, one hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1369 1443 1924 2738 2886 3331 4107 4329 5476 5772 6662 8214 8658 9993 12321 13324 16428 17316 17797 19986 24642 29979 35594 39972 43303 49284 53391 59958 71188 86606 106782 119916 123247 129909 160173 173212 213564 246494 259818 320346 369741 389727 492988 519636 640692 739482 779454 1109223 1478964 1558908 1602211 2218446 3204422 4436892 4560139 4806633 6408844 9120278 9613266 13680417 14419899 18240556 19226532 27360834 28839798 41041251 54721668 57679596 59281807 82082502 118563614 164165004 177845421 237127228 355690842 533536263 711381684 1067072526 2134145052