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2134200024045 = 345171943137853
BaseRepresentation
bin11111000011101000001…
…110111111101111101101
321120000202001212102110000
4133003220032333233231
5234431320201232140
64312234333134513
7310122315613335
oct37035016775755
97500661772400
102134200024045
11753122303171
122a575732a439
1312633c62281b
147541da9a0c5
153a7ae927a30
hex1f0e83bfbed

2134200024045 has 160 divisors (see below), whose sum is σ = 4274001262080. Its totient is φ = 1012519802880.

The previous prime is 2134200024031. The next prime is 2134200024059. The reversal of 2134200024045 is 5404200024312.

2134200024045 is a `hidden beast` number, since 21 + 34 + 200 + 0 + 2 + 404 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2134200024031) and next prime (2134200024059).

It is not a de Polignac number, because 2134200024045 - 24 = 2134200024029 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56362339 + ... + 56400191.

It is an arithmetic number, because the mean of its divisors is an integer number (26712507888).

Almost surely, 22134200024045 is an apocalyptic number.

It is an amenable number.

2134200024045 is an abundant number, since it is smaller than the sum of its proper divisors (2139801238035).

2134200024045 is a wasteful number, since it uses less digits than its factorization.

2134200024045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38337 (or 38328 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2134200024045 its reverse (5404200024312), we get a palindrome (7538400048357).

The spelling of 2134200024045 in words is "two trillion, one hundred thirty-four billion, two hundred million, twenty-four thousand, forty-five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 81 85 95 135 153 171 255 285 323 405 431 459 513 765 855 969 1293 1377 1539 1615 2155 2295 2565 2907 3879 4845 6465 6885 7327 7695 8189 8721 11637 14535 19395 21981 24567 26163 34911 36635 37853 40945 43605 58185 65943 73701 109905 113559 122835 130815 139213 174555 189265 197829 221103 329715 340677 368505 417639 567795 593487 643501 663309 696065 719207 989145 1022031 1105515 1252917 1703385 1930503 2088195 2157621 2967435 3066093 3217505 3316545 3596035 3758751 5110155 5791509 6264585 6472863 9652515 10788105 11276253 12226519 15330465 16314643 17374527 18793755 19418589 28957545 32364315 36679557 48943929 52123581 56381265 58255767 61132595 81573215 86872635 97092945 110038671 146831787 183397785 244719645 260617905 277348931 291278835 309978217 330116013 440495361 550193355 734158935 832046793 929934651 990348039 1321486083 1386744655 1549891085 1650580065 2202476805 2496140379 2789803953 4160233965 4649673255 4951740195 5269629689 6607430415 7488421137 8369411859 12480701895 13949019765 15808889067 22465263411 25108235577 26348148445 37442105685 41847059295 47426667201 79044445335 112326317055 125541177885 142280001603 237133336005 426840004809 711400008015 2134200024045