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2134214060034 = 2373719322373181
BaseRepresentation
bin11111000011101001000…
…100100010100000000010
321120000210001021112012110
4133003221010202200002
5234431332244410114
64312235554040150
7310122546122520
oct37035104424002
97500701245173
102134214060034
1175312a21a661
122a575bb79056
131263424c8444
14754218b1310
153a7b0c9b759
hex1f0e9122802

2134214060034 has 128 divisors (see below), whose sum is σ = 5039840788992. Its totient is φ = 589771653120.

The previous prime is 2134214059981. The next prime is 2134214060059. The reversal of 2134214060034 is 4300604124312.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2134214059983 and 2134214060010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670923924 + ... + 670927104.

It is an arithmetic number, because the mean of its divisors is an integer number (39373756164).

Almost surely, 22134214060034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134214060034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519920394496).

2134214060034 is an abundant number, since it is smaller than the sum of its proper divisors (2905626728958).

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

2134214060034 is a wasteful number, since it uses less digits than its factorization.

2134214060034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2134214060034 its reverse (4300604124312), we get a palindrome (6434818184346).

The spelling of 2134214060034 in words is "two trillion, one hundred thirty-four billion, two hundred fourteen million, sixty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 193 222 259 386 518 579 777 1158 1351 1554 2237 2702 3181 4053 4474 6362 6711 7141 8106 9543 13422 14282 15659 19086 21423 22267 31318 42846 44534 46977 49987 66801 82769 93954 99974 117697 133602 149961 165538 235394 248307 299922 353091 431741 496614 579383 613933 706182 823879 863482 1158766 1227866 1295223 1647758 1738149 1841799 2471637 2590446 3022187 3476298 3683598 4297531 4943274 6044374 7115897 8595062 9066561 12892593 14231794 15974417 18133122 21347691 22715521 25785186 31948834 42695382 45431042 47923251 49811279 68146563 95846502 99622558 111820919 136293126 149433837 159008647 223641838 263288189 298867674 318017294 335462757 477025941 526576378 670925514 789864567 954051882 1373368121 1579729134 1843017323 2746736242 3686034646 4120104363 5529051969 8240208726 9613576847 11058103938 19227153694 28840730541 50814620477 57681461082 101629240954 152443861431 304887722862 355702343339 711404686678 1067107030017 2134214060034